| Kazuhiro Yamamoto | Last modified date：2024.04.20 |
Professor /
Fundamental particle physics /
Department of Physics /
Faculty of Sciences
Papers
| 1. | Fumiya Nishimura, Yui Kuramochi, Kazuhiro Yamamoto, Classical gravitational effect on the standard quantum limit of finite-size optical lattice clocks in estimating gravitational potential, Physical Review A, 108, 063112-1-063112-11, 2023.12. |
| 2. | Masaki Tani, Kosei Hatakeyama, Daisuke Miki, Yuki Yamasaki, Kazuhiro Yamamoto, Violation of the two-time Leggett-Garg inequalities for a coarse-grained quantum field, Physical Reiview A, 10.1103/PhysRevA.109.032213, 109, 032213-１-032213-11, 2024.03. |
| 3. | Daisuke Miki, Akira Matsumura, Kazuhiro Yamamoto, Quantum signature of gravity in optomechanical systems with conditional measurement, Physical Reiview D, 10.1103/PhysRevD.109.064090, 109, 064090-1-064090-12, 2024.03. |
| 4. | Masahiro Hotta, Yasusada Nambu, Yuuki Sugiyama, Kazuhiro Yamamoto, Go Yusa, Expanding edges of quantum Hall systems in a cosmology language: Hawking radiation from de Sitter horizon in edge modes, PHYSICAL REVIEW D, 10.1103/PhysRevD.105.105009, 105, 10, 2022.05, Expanding edge experiments are promising to open new physics windows of quantum Hall systems. In a static edge, the edge excitation, which is described by free fields decoupled with the bulk dynamics, is gapless, and the dynamics preserve conformal symmetry. When the edge expands, such properties need not be preserved. We formulate a quantum field theory in 1 ?? 1-dimensional curved spacetimes to analyze the edge dynamics. We propose methods to address the following questions using edge waveforms from the expanding region: Does the conformal symmetry survive? Is the nonlinear interaction of the edge excitations induced by edge expansion? Do the edge excitations interact with the bulk excitations? We additionally show that the expanding edges can be regarded as expanding universe simulators of twodimensional dilaton-gravity models, including the Jackiw-Teitelboim gravity model. As an application, we point out that our theoretical setup might simulate emission of analog Hawking radiation with the GibbonsHawking temperature from the future de Sitter horizon formed in the expanding-edge region.. |
| 5. | Kazushige Ueda, Atsushi Higuchi, Kazuhiro Yamamoto, Ar Rohim, Yue Nan, Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces, PHYSICAL REVIEW D, 10.1103/PhysRevD.103.125005, 103, 12, 125005-1-125005-23, 2021.06, [URL], We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unified manner which derives vacuum entanglement.. |
| 6. | Yuuki Sugiyama, Kazuhiro Yamamoto, Tsutomu Kobayashi, Gravitational waves in Kasner spacetimes and Rindler wedges in Regge-Wheeler gauge: Formulation of Unruh effect, Physical Review D, 10.1103/PhysRevD.103.026017, 103, 8, 083503-1, 2021.04, [URL], We derive the solutions of gravitational waves in the future (F) expanding and past (P) shrinking Kasner spacetimes, as well as in the left (L) and right (R) Rindler wedges in the Regge-Wheeler gauge. The solutions for all metric components are obtained in an analytic form in each region. We identify the master variables, which are equivalent to massless scalar fields, to describe the gravitational degrees of freedom for the odd-parity and even-parity modes under the transformation in the two-dimensional plane-symmetric space. Then, the master variables are quantized, and we develop the quantum field theory of the gravitational waves in the F, P, L, and R regions. We demonstrate that the mode functions of the quantized gravitational waves in the left and right Rindler wedges are obtained by an analytic continuation of the left-moving and right-moving wave modes in Kasner spacetime. On the basis of these analyses, we discuss the Unruh effect of the quantized gravitational waves for an observer in a uniformly accelerated motion in Minkowski spacetime in an explicit manner for the first time.. |
| 7. | Daisuke Miki, Akira Matsumura, Kazuhiro Yamamoto, Entanglement and decoherence of massive particles due to gravity, PHYSICAL REVIEW D, 10.1103/PhysRevD.103.026017, 103, 2, 2021.01, [URL], We analyze the dynamics of a gravity-induced entanglement for N massive particles. Considering the linear configuration of these particles, we investigate the entanglement between a specific pair of particles under the influence of the gravitational interaction between the massive particles. As the particle number increases, the specific particle pair decoheres more easily due to the gravitational interaction with other particles. The timescale of the gravity-induced decoherence is analytically determined. We also discuss the entanglement dynamics of initially entangled particles, which exemplify the monogamy of the gravity-induced entanglement.. |
| 8. | Akira Matsumura, Kazuhiro Yamamoto, Gravity-induced entanglement in optomechanical systems, PHYSICAL REVIEW D, 10.1103/PhysRevD.102.106021, 102, 10, 2020.11, [URL], We investigate the phenomenon of gravity-induced entanglement in optomechanical systems. Assuming photon number conservation and the Newtonian potential expanded up to the quadratic order of the oscillator positions, we exactly solve the dynamics of the optomehcanical systems. Then, we find that the phase difference due to the Newtonian gravity leads to the large entanglement of photons in separated cavities. We clarify the generating mechanism of large gravity-induced entanglements in optomechanical systems in an exact manner. We also determine the characteristic time to generate the maximal entanglement of photons. Finally, by comparing the characteristic time with the decoherence time due to photon leakage, we evaluate the range of the dissipation rate required for testing the gravity-induced entanglement.. |
| 9. | Fluctuation-dissipation and correlation-propagation relations in (1 + 3)D moving detector-quantum field systems The fluctuation-dissipation relations (FDR) are powerful relations which can capture the essence of the interplay between a system and its environment. Challenging problems of this nature which FDRs aid in our understanding include the backreaction of quantum field processes like particle creation on the spacetime dynamics in early universe cosmology or quantum black holes. The less familiar, yet equally important correlation-propagation relations (CPR) relate the correlations of stochastic forces on different detectors to the retarded and advanced parts of the radiation propagated in the field. Here, we analyze a system of N uniformly-accelerated Unruh-DeWitt detectors whose internal degrees of freedom (idf) are minimally coupled to a real, massless, scalar field in 4D Minkowski space, extending prior work in 2D with derivative coupling. Using the influence functional formalism, we derive the stochastic equations describing the nonequilibrium dynamics of the idfs. We show after the detector-field dynamics has reached equilibration the existence of the FDR and the CPR for the detectors, which combine to form a generalized fluctuation-dissipation matrix relation. We show explicitly the energy flows between the constituents of the system of detectors and between the system and the quantum field environment. This power balance anchors the generalized FDR. We anticipate this matrix relation to provide a useful guardrail in expounding some basic issues in relativistic quantum information, such as ensuring the self-consistency of the energy balance and tracking the quantum information transfer in the detector-field system.. |
| 10. | Yue Nan, Kazuhiro Yamamoto, Hajime Aoki, Satoshi Iso, and Daisuke Yamauchi, Large-scale inhomogeneity of dark energy produced in the ancestor vacuum, PHYSICAL REVIEW D, 10.1103/PhysRevD.99.103512, 99, 10, 2019.05, We investigate large-scale inhomogeneity of dark energy in the bubble nucleation scenario of the universe. In this scenario, the present universe was created by a bubble nucleation due to quantum tunneling from a metastable ancestor vacuum, followed by a primordial inflationary era. During the bubble nucleation, supercurvature modes of some kind of a scalar field are produced, and remain until present without decaying; thus they can play a role of the dark energy, if the mass of the scalar field is sufficiently light in the present universe. The supercurvature modes fluctuate at a very large spatial scale, much longer than the Hubble length in the present universe. Thus they create large-scale inhomogeneities of the dark energy, and generate large-scale anisotropies in the cosmic microwave background (CMB) fluctuations. This is a notable feature of this scenario, where quantum fluctuations of a scalar field are responsible for the dark energy. In this paper, we calculate imprints of the scenario on the CMB anisotropies through the integrated Sachs-Wolfe (ISW) effect, and give observational constraints on the curvature parameter ΩK and on an additional parameter ε describing some properties of the ancestor vacuum.. |
| 11. | Late-time quantum radiation by a uniformly accelerated detector in de Sitter spacetime We investigate the quantum radiation emitted by a uniformly accelerated Unruh-De Witt detector in de Sitter spacetime. We find that there exists a nonvanishing quantum radiation at late times in the radiation zone of the conformally flat coordinates, whic. |
| 12. | Vacuum state in de Sitter spacetime with static charts We study the free massive scalar field in de Sitter spacetime with static charts. In particular, we find positive-frequency modes for the Bunch-Davies vacuum state natural to the static charts as superpositions of the well-known positive-frequency modes in the conformally-flat chart. We discuss in detail how these modes are defined globally in the two static charts and the region in their future. The global structure of these solutions leads to the well-known description of the Bunch-Davies vacuum state as an entangled state. Our results are expected to be useful not only for studying the thermal properties in the vacuum fluctuations in de Sitter spacetime but also for understanding the nonlocal properties of the vacuum state.. |
| 13. | Gravitational redshift in the void-galaxy cross-correlation function in redshift space We construct an analytic model for the void-galaxy cross-correlation function that enables theoretical predictions of the dipole signal produced dominantly by the gravitational redshift within voids for the first time. By extending a theoretical formulation for the redshift-space distortion of galaxies to include the second order terms of the galaxy peculiar velocity v and the gravitational potential, we formulate the void-galaxy cross-correlation function multipoles in the redshift space, the monopole ξ0(s), dipole ξ1(s), and quadrupole ξ2(s). We find that the dipole ξ1(s) is dominated by the gravitational redshift, which provides a unique opportunity to detect the gravitational potential of voids. Thus, for the dipole ξ1(s)(s), the gravitational redshift is crucial. Although the higher order effect is almost negligible on the monopole ξ0(s), it has an influence on the quadrupole ξ2(s). The effects from the random velocity of galaxies and the definition of the void center on the dipole signal are also discussed. Our model offers a new theoretical probe for the detection of gravitational redshift with voids and further tests on cosmology and gravity.. |
| 14. | Higher multipoles of the galaxy bispectrum in redshift space As a generalization of our previous work [Phys. Rev. D 95 (2017) 043528], in which an analytic model for the galaxy bispectrum in redshift space was developed on the basis of the halo approach, we here investigate its higher multipoles that have not been known so far. The redshift-space bispectrum includes the two variables ω and φ for the line-of-sight direction, and the higher multipole bispectra are defined by the coefficients in the expansion of the redshift-space bispectrum using the spherical harmonics. We find 6 new nonvanishing components out of 25 total components up to ℓ=4, in addition to 3 components discussed in the previous work (monopole, quadruple, and hexadecapole of m=0). The characteristic behaviors of the new nonvanishing multipoles are compared with the results of galaxy mock catalogs that match the halo occupation distribution of the Sloan Digital Sky Survey Baryonic Oscillation Spectroscopic Survey low-redshift sample. We find that the multipoles with m≠ 0 are also sensitive to redshift-space distortion (RSD) as well as those with m=0 and thus are key ingredients in the RSD analysis using the galaxy bispectrum. Analytic approximation formulas for these nonzero components are also presented; these are useful for understanding the characteristic behaviors.. |
| 15. | Daiki Sakuma, Ayumu Terukina, Kazuhiro Yamamoto, Chiaki Hikage, Gravitational redshifts of clusters and voids, Physical Review D, 10.1103/PhysRevD.97.063512, 97, 6, 2018.03, We investigate gravitational redshifts (signals of gravitational potential) in measurements of the redshifts of cosmological objects, i.e., central and satellite galaxies in clusters of galaxies, intracluster gas, as well as galaxies associated with voids by developing simple theoretical models. In the analysis with satellite galaxies in clusters, we develop a very simple analytic model for satellite galaxies virialized in halos, which enables us to evaluate the signals depending on the properties of the halo occupation distribution of galaxies. We obtain results consistent with recent previous results, though our results are restricted to the satellite galaxies inside the virial radius. In the analysis of intracluster gas, we develop a simple analytic model including the effect of random motions of gases, which are assumed to generate nonthermal pressure. We demonstrate a possible contribution of the random motions of gases to gravitational potential measurements. We also investigate a possible signature of the gravitational potential in measurements of galaxies associated with voids by utilizing a simple analytic model. We show that the second-order Hubble term, which appears in the expansion of the scale factor around the center of a void, may make a significant contribution depending on the way the galaxy samples are analyzed. The studies on the possible signals of gravitational potential for intracluster gases and voids are performed for the first time.. |
| 16. | Atsushi Higuchi, Satoshi Iso, Kazushige Ueda, Kazuhiro Yamamoto, Entanglement of the vacuum between left, right, future, and past: The origin of entanglement-induced quantum radiation, PHYSICAL REVIEW D, 10.1103/PhysRevD.96.083531, 96, 8, 2017.10, The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to the future (expanding) and past (shrinking) Kasner spacetimes. This clarifies the origin of the quantum radiation produced by an Unruh-DeWitt detector in uniformly accelerated motion in the four-dimensional Minkowski spacetime. We also investigate the two-dimensional massless case where the quantum radiation vanishes but the same entanglement structure exists.. |
| 17. | Path Integral Formulation for Wave Effect in Multilens System. |
| 18. | Satoshi Iso, Rumi Tatsukawa, Kazushige Ueda, Kazuhiro Yamamoto, Entanglement-induced quantum radiation, PHYSICAL REVIEW D, 10.1103/PhysRevD.96.045001, 96, 4, 2017.08, Quantum entanglement of the Minkowski vacuum state between left and right Rindler wedges generates thermal behavior in the right Rindler wedge, which is known as the Unruh effect. In this paper, we show that there is another consequence of this entanglement, namely entanglement-induced quantum radiation emanating from a uniformly accelerated object. We clarify why it is in agreement with our intuition that incoming and outgoing energy fluxes should cancel each other out in a thermalized state.. |
| 19. | Naritaka Oshita, Kazuhiro Yamamoto, Sen Zhang, Unruh Radiation Produced by a Uniformly Accelerating Charged Particle in Thermal Random Motions, Everything about Gravity, Proceedings of the Second LeCosPA International Symposium, 10.1142/9789813203952_0082, 584-589, 2017.03. |
| 20. | Kazuhiro Yamamoto, Yue Nan, Chiaki Hikage, Analytic halo approach to the bispectrum of galaxies in redshift space, PHYSICAL REVIEW D, 10.1103/PhysRevD.95.043528, 95, 4, 2017.02, We present an analytic formula for the galaxy bispectrum in redshift space on the basis of the halo approach description with the halo occupation distribution of central galaxies and satellite galaxies. This work is an extension of a previous work on the galaxy power spectrum, which illuminated the significant contribution of satellite galaxies to the higher multipole spectrum through the nonlinear redshift space distortions of their random motions. Behaviors of the multipoles of the bispectrum are compared with results of numerical simulations assuming a halo occupation distribution of the low-redshift (LOWZ) sample of the Sloan Digital Sky Survey (SDSS) III baryon oscillation spectroscopic survey (BOSS) survey. Also presented are analytic approximate formulas for the multipoles of the bispectrum, which is useful to understanding their characteristic properties. We demonstrate that the Fingers of God effect is quite important for the higher multipoles of the bispectrum in redshift space, depending on the halo occupation distribution parameters.. |
| 21. | Satoshi Iso, Naritaka Oshita, Rumi Tatsukawa, Kazuhiro Yamamoto, Sen Zhang, Quantum radiation produced by the entanglement of quantum fields, PHYSICAL REVIEW D, 10.1103/PhysRevD.95.023512, 95, 2, 2017.01, We investigate the quantum radiation produced by an Unruh-DeWitt detector in a uniformly accelerating motion coupled to the vacuum fluctuations. Quantum radiation is nonvanishing, which is consistent with the previous calculation by Lin and Hu [Phys. Rev. D 73, 124018 (2006)]. We infer that this quantum radiation from the Unruh-De Witt detector is generated by the nonlocal correlation of the Minkowski vacuum state, which has its origin in the entanglement of the state between the left and the right Rindler wedges.. |
| 22. | Rampei Kimura, Takahiro Tanaka, Kazuhiro Yamamoto, Yasuho Yamashita, Constraint on ghost-free bigravity from gravitational Cherenkov radiation, PHYSICAL REVIEW D, 10.1103/PhysRevD.94.064059, 94, 6, 2016.09, We investigate gravitational Cherenkov radiation in a healthy branch of background solutions in the ghost-free bigravity model. In this model, because of the modification of dispersion relations, each polarization mode can possess subluminal phase velocities, and the gravitational Cherenkov radiation could be potentially emitted from a relativistic particle. In the present paper, we derive conditions for the process of the gravitational Cherenkov radiation to occur and estimate the energy emission rate for each polarization mode. We found that the gravitational Cherenkov radiation emitted even from an ultrahigh energy cosmic ray is sufficiently suppressed for the graviton's effective mass less than 100 eV, and the bigravity model with dark matter coupled to the hidden metric is therefore consistent with observations of high energy cosmic rays.. |
| 23. | Yoshiki Ueno, Kazuhiro Yamamoto, Constraints on alpha-attractor inflation and reheating, PHYSICAL REVIEW D, 10.1103/PhysRevD.93.083524, 93, 8, 2016.04, We investigate a constraint on reheating followed by alpha-attractor-type inflation (the E-model and T-model) from an observation of the spectral index n(s). When the energy density of the Universe is dominated by an energy component with the cosmic equation-of-state parameter w(re) during reheating, its e-folding number N-re and the reheating temperature T-re are bounded depending on w(re). When the reheating epoch consists of two phases-where the energy density of the Universe is dominated by uniform inflaton field oscillations in the first phase and by relativistic nonthermalized particles in the second phase-we find a constraint on the e-folding number of the first oscillation phase, N-sc, depending on the parameters of the inflaton potential. For the simplest perturbative reheating scenario, we find the lower bound for a coupling constant of inflaton decay in the E-model and T-model depending on the model parameters. We also find a constraint on the a parameter, alpha >= 0.01, for the T-model and E-model when we assume a broad resonance. |
| 24. | Naritaka Oshita, Kazuhiro Yamamoto, Sen Zhang, Quantum radiation produced by a uniformly accelerating charged particle in thermal random motion, PHYSICAL REVIEW D, 10.1103/PhysRevD.93.085016, 93, 8, 085016-1-085016-7, 2016.04, We investigate the properties of quantum radiation produced by a uniformly accelerating charged particle undergoing thermal random motion, which originates from the coupling to the vacuum fluctuations of the electromagnetic field. Because the thermal random motion is regarded to result from the Unruh effect, the quantum radiation might give us hints of the Unruh effect. The energy flux of the quantum radiation is negative and smaller than that of Larmor radiation by one order in a/m, where a is the constant acceleration and m is the mass of the particle. Thus, the quantum radiation appears to be a suppression of the classical Larmor radiation. The quantum interference effect plays an important role in this unique signature. The results are consistent with the predictions of a model consisting of a particle coupled to a massless scalar field as well as those of the previous studies on the quantum effect on the Larmor radiation.. |
| 25. | Chiaki Hikage, Kazuhiro Yamamoto, Fingers-of-God effect of infalling satellite galaxies, MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 10.1093/mnrasl/slv153, 455, 1, L77-L81, 2016.01, Non-linear redshift-space distortion known as the Fingers-of-God (FoG) effect is a major systematic uncertainty in redshift-space distortion studies conducted to test gravity models. The FoG effect has been usually attributed to the random motion of galaxies inside their clusters. When the internal galaxy motion is not well virialized, however, the coherent infalling motion towards the cluster centre generates the FoG effect. Here, we derive an analytical model of the satellite velocity distribution due to the infall motion combined with the random motion. We show that the velocity distribution becomes far from Maxwellian when the infalling motion is dominant. We use simulated subhalo catalogues to find that the contribution of infall motion is important to massive subhaloes and that the velocity distribution has a top-hat like shape as expected from our analytic model. We also study the FoG effect due to infall motion on the redshift-space power spectrum. Using simulated mock samples of luminous red galaxies constructed from haloes and massive subhaloes in N-body simulations, we show that the redshift-space power spectra can differ from expectations when the infall motion is ignored.. |
| 26. | Satoshi Kiyota, Kazuhiro Yamamoto, Constraint on modified dispersion relations for gravitational waves from gravitational Cherenkov radiation, PHYSICAL REVIEW D, 10.1103/PhysRevD.92.104036, 92, 10, 2015.11, We investigate the hypothetical process of gravitational Cherenkov radiation, which may occur in modified gravity theories. We obtain a useful constraint on a modified dispersion relation for propagating modes of gravitational waves, which could be predicted as a consequence of the violation of the Lorentz invariance in modified theories of gravity. The constraint from gravitational Cherenkov radiation and that from direct measurements of the gravitational waves emitted by a compact binary system are complementary to each other.. |
| 27. | Yuichiro Takushima, Ayumu Terukina, Kazuhiro Yamamoto, Third order solutions of cosmological density perturbations in Horndeski's most general scalar-tensor theory with the Vainshtein mechanism, PHYSICAL REVIEW D, 10.1103/PhysRevD.92.104033, 92, 10, 2015.11, We study the third order solutions of the cosmological density perturbations in Horndeski's most general scalar-tensor theory under the condition that the Vainshtein mechanism is at work. In this work, we thoroughly investigate the independence property of the functions describing the nonlinear mode couplings, which is also useful for models within general relativity. Then, we find that the solutions of the density contrast and the velocity divergence up to third order are characterized by six parameters. Furthermore, the one-loop order power spectra obtained with third order solutions are described by four parameters. We exemplify the behavior of the one-loop order power spectra assuming the kinetic gravity braiding model, which demonstrates that the effect of modified gravity appears more significantly in the power spectrum of the velocity divergence than the density contrast.. |
| 28. | Ayumu Terukina, Kazuhiro Yamamoto, Nobuhiro Okabe, Kyoko Matsushita, Toru Sasaki, Testing a generalized cubic Galileon gravity model with the Coma Cluster, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2015/10/064, 10, 2015.10, We obtain a constraint on the parameters of a generalized cubic Galileon gravity model exhibiting the Vainshtein mechanism by using multi-wavelength observations of the Coma Cluster. The generalized cubic Galileon model is characterized by three parameters of the turning scale associated with the Vainshtein mechanism, and the amplitude of modifying a gravitational potential and a lensing potential. X-ray and Sunyaev-Zel'dovich (SZ) observations of the intra-cluster medium are sensitive to the gravitational potential, while the weak-lensing (WL) measurement is specified by the lensing potential. A joint fit of a complementary multi-wavelength dataset of X-ray, SZ and WL measurements enables us to simultaneously constrain these three parameters of the generalized cubic Galileon model for the first time. We also find a degeneracy between the cluster mass parameters and the gravitational modification parameters, which is influential in the limit of the weak screening of the fifth force.. |
| 29. | Naritaka Oshita, Kazuhiro Yamamoto, Sen Zhang, Quantum radiation from a particle in an accelerated motion coupled to vacuum fluctuations, PHYSICAL REVIEW D, 10.1103/PhysRevD.92.045027, 92, 4, 2015.08, A particle in a uniformly accelerated motion exhibits Brownian random motions around the classical trajectory due to the coupling to the field vacuum fluctuations. Previous works show that the Brownian random motions satisfy the energy equipartition relation. This thermal property is understood as the consequence of the Unruh effect. In the present work, we investigate the radiation from the thermal random motions of an accelerated particle coupled to vacuum fluctuations. The energy flux of this radiation is negative of the order smaller than the classical radiation by the factor a/m, where a is the acceleration constant and m is the mass of a particle. The results could be understood as a suppression of the classical radiation by the quantum effect.. |
| 30. | Tatsuro Kanemaru, Chiaki Hikage, Gert Huesi, Ayumu Terukina, Kazuhiro Yamamoto, What can we learn from higher multipole power spectra of galaxy distribution in redshift space?, PHYSICAL REVIEW D, 10.1103/PhysRevD.92.023523, 92, 2, 2015.07, We investigate the potential of the higher multipole power spectra of the galaxy distribution in redshift space as a cosmological probe on halo scales. Based on the fact that a halo model explains well the multipole power spectra of the luminous red galaxy sample in the Sloan Digital Sky Survey, we focus our investigation on the random motions of the satellite luminous red galaxies that determine the higher multipole spectra at large wave numbers. We show that our theoretical model fits the higher multipole spectra at large wave numbers from N-body numerical simulations, and we apply these results for testing the gravity theory and the velocity structure of galaxies on the halo scales. In this analysis, we use the multipole spectra P-4(k) and P-6(k) on the small scales of the range of wave number 0.3 |
| 31. | Naritaka Oshita, Kazuhiro Yamamoto, Sen Zhang, Thermal property in Brownian motion of a particle coupled to vacuum fluctuations, PHYSICAL REVIEW D, 10.1103/PhysRevD.89.124028, 89, 12, 2014.06, We investigate Brownian motions of a particle coupled to vacuum fluctuations of a quantum field. The Unruh effect predicts that an observer in an accelerated motion sees the Minkowski vacuum as thermally excited. This addresses the problem of whether or not a thermal property appears in a perturbative random motion of a particle in an accelerated motion due to the coupling. We revisit this problem by solving the equation of motion of a particle coupled to vacuum fluctuations including the radiation reaction force. We compute a Fourier integral for the variance of the random velocity in a rigorous manner. Similarly, we consider a particle coupled to vacuum fluctuations in de Sitter spacetime motivated by the argument that an observer in de Sitter spacetime sees the Bunch-Davies vacuum as a thermally excited state with the Gibbons-Hawking temperature. Our investigation clarifies the condition that the energy equipartition relation arises in the Brownian motions of a particle.. |
| 32. | Cosmology of the proxy theory to massive gravity In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in de Rham and Heisenberg [Phys. Rev. D 84, 043503 (2011)]. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity, and it represents a subclass of Horndeski scalar-tensor theory. Thus, this covariantization unifies two important classes of modified gravity theories, namely, massive gravity and Horndeski theories. We go beyond the regime which was studied in de Rham and Heisenberg [Phys. Rev. D 84, 043503 (2011)] and show that the theory does not admit any homogeneous and isotropic self-accelerated solutions. We illustrate that the only attractor solution is the flat Minkowski solution; hence, this theory is less appealing as a dark energy model. We also show that the absence of de Sitter solutions is tightly related to the presence of shift symmetry breaking interactions. © 2014 American Physical Society.. |
| 33. | Bispectrum of cosmological density perturbations in the most general second-order scalar-tensor theory We study the bispectrum of matter density perturbations induced by the large-scale structure formation in the most general second-order scalar-tensor theory that may possess the Vainshtein mechanism as a screening mechanism. On the basis of the standard perturbation theory, we derive the bispectrum being expressed by a kernel of the second-order density perturbations. We find that the leading-order kernel is characterized by one parameter, which is determined by the solutions of the linear density perturbations, the Hubble parameter, and the other function specifying nonlinear interactions. This is because our model, which may be equipped with the Vainshtein mechanism, includes only one simple function that describes mode couplings of the nonlinear interactions. This feature does not allow for varied behavior in the bispectrum of the matter density perturbations in the most general second-order scalar-tensor theory equipped with the Vainshtein mechanism. We exemplify the typical behavior of the bispectrum in a kinetic gravity braiding model. © 2014 American Physical Society.. |
| 34. | Ayumu Terukina, Lucas Lombriser, Kazuhiro Yamamoto, David Bacon, Kazuya Koyama, Robert C. Nichol, Testing chameleon gravity with the Coma cluster, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-014/04/013, 4, 2014.04, We propose a novel method to test the gravitational interactions in the outskirts of galaxy clusters. When gravity is modified, this is typically accompanied by the introduction of an additional scalar degree of freedom, which mediates an attractive fifth force. The presence of an extra gravitational coupling, however, is tightly constrained by local rmasurements. In chameleon modifications of gravity, local tests can be evaded by employing a screening mechanism that suppresses the fifth force in dense environments. While the chameleon field may be screened in the interior of the cluster, its outer region can still be affected by the extra force, introducing a deviation between the hydrostatic and lensing mass of the cluster. Thus, the chameleon modification can be tested by combining the gas and lensing measurements of the cluster. We demonstrate the operability of our method with the Coma cluster, for which both a lensing measurement and gas observations from the X-ray surface brightness, the X-ray temperature, and the Sunyaev-Zer'dovich effect are available. U sing the,joint observational data set, we perform a Markov chain Monte Carlo analysis of the parameter space describing the different profiles in both the Newtonian and chameleon scenarios. We report competitive constraints on the chameleon field amplitude and its coupling strength to matter. In the case of f ( R) gravity, corresponding to a specific choice of the coupling, we find an upper bound on the background field amplitude of vertical bar fRo vertical bar |
| 35. | Simultaneous constraints on the growth of structure and cosmic expansion from the multipole power spectra of the SDSS DR7 LRG sample The anisotropic galaxy clustering on large scales provides us with a unique opportunity to probe into the gravity theory through the redshift-space distortions (RSDs) and theAlcock-Paczynski effect. Using the multipole power spectra up to hexadecapole (ℓ = 4), of the luminous red galaxy (LRG) sample in the Data Release 7 (DR7) of the Sloan Digital Sky Survey II (SDSS-II), we obtain simultaneous constraints on the linear growth rate f, angular diameter distance DA, and Hubble parameter H at redshift z = 0.3. For this purpose, we first extensively examine the validity of a theoretical model for the non-linear RSDs using mock subhalo catalogues from N-body simulations, which are constructed to match with the observed multipole power spectra. We show that the input cosmological parameters of the simulations can be recovered well within the error bars by comparing the multipole power spectra of our theoretical model and those of the mock subhalo catalogues. We also carefully examine systematic uncertainties in our analysis by testing the dependence on prior assumption of the theoretical model and the range ofwavenumbers to be used in the fitting. These investigations validate that the theoretical model can be safely applied to the real data. Thus, our results from the SDSS DR7 LRG sample are robust including systematics of theoretical modelling; f(z = 0.3)7sigma; 8(z = 0.3) = 0.49 ± stat.0.08 ± sys.0.04, DA(z = 0.3) = 968 ± stat.42 ± sys.17 (Mpc), H(z = 0.3) = 81.7 ± stat.5.0 ± sys.3.7 (km s-1 Mpc-1). We believe that our method to constrain the cosmological parameters using subhaloes catalogues will be useful for more refined samples like CMASS and LOWZ catalogues in the Baryon Oscillation Spectroscopic Survey in SDSS-III. © 2014 The Authors Published by Oxford University Press on behalf of the Royal Astronomical Society.. |
| 36. | Chiaki Hikage, Kazuhiro Yamamoto, Impacts of satellite galaxies on the redshift-space distortions, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2013/08/019, 8, 2013.08, We study the impacts of the satellite galaxies on the redshift-space distortions. In our multipole power spectrum analysis of the luminous red galaxies (LRGs) samples of the Sloan digital sky survey (SDSS), we have clearly detected the non-zero signature of the hexadecapole and tetrahexadecapole spectrum, which almost disappears in the power spectrum with the sample of the brightest LRGs only. We thus demonstrate that the satellite LRGs in multiple systems make a significant contribution to the multipole power spectrum though its fraction is small. The behavior can be understood by a simple halo model, in which the one-halo term, describing the Finger of God (FoG) effect from the satellite galaxies, makes the dominant contribution to the higher multipole spectra. We demonstrate that the small-scale information of higher multipole spectrum is useful for calibrating the satellite FoG effect and improves the measurement of the cosmic growth rate dramatically. We further demonstrate that the fiber collision in the galaxy survey influences the one-halo term and the higher multipole spectra, because the number of satellite galaxies in the halo occupation distribution (HOD) is changed. We also discuss about the impact of satellite galaxies on future high-redshift surveys targeting the H-alpha emitters.. |
| 37. | Satoshi Iso, Kazuhiro Yamamoto, Sen Zhang, On the cancellation mechanism of radiation from the Unruh detector, PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 10.1093/ptep/ptt040, 6, 2013.06, A uniformly accelerated detector (Unruh detector) in a Minkowski vacuum is excited as if it is exposed to a thermal bath with a temperature proportional to its acceleration. In the inertial frame, since both the excitation and de-excitation of the detector are accompanied by emission of radiation into the Minkowski vacuum, one may suspect that the Unruh detector emits radiation like Larmor radiation from an accelerated charged particle. However, it is known that the radiation is miraculously canceled out by a quantum interference effect. In this paper, we investigate the conditions under which the radiation cancels out. We first show that the cancellation occurs if the Green function satisfies a relation similar to the Kubo-Martin-Schwinger (KMS) condition. We then study two examples, Unruh detectors in 3+1-dimensional Minkowski spacetime and in de Sitter spacetime. In both cases, the relation holds only in a restricted region of the spacetime, but the radiation is canceled over the whole spacetime. Hence the KMS-like relation is necessary but not sufficient for the cancellation to occur.. |
| 38. | Ayumu Terukina, Kazuhiro Yamamoto, Gas Density Profile in Dark Matter Halo in Chameleon Cosmology, PHYSICAL REVIEW D, 10.1103/PhysRevD.86.103503, 86, 10, 2012.11, We investigate the gas density, temperature, and pressure profiles in a dark matter halo under the influence of the chameleon force. We solve the hydrostatic equilibrium equation for the gas coupled with the chameleon field in an analytic manner, using an approximate solution for the chameleon field equation with the source term, with a generalized Navarro-Frenk-White universal density profile. We find that the gas distribution becomes compact because a larger pressure gradient is necessary due to the additional chameleon force. By confronting the theoretical prediction with the data of the temperature profile of the Hydra A cluster according to Suzaku x-ray observations out to the virial radius, we demonstrate that a useful constraint on a model parameter can be obtained depending on the value of the coupling constant. For example, the upper bound of the background value of chameleon field, phi(infinity) |
| 39. | Gen Nakamura, Kazuhiro Yamamoto, QUANTUM LARMOR RADIATION FROM A MOVING CHARGE IN AN ELECTROMAGNETIC PLANE WAVE BACKGROUND, INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 10.1142/S0217751X12501424, 27, 24, 2012.09, We extend our previous work [Phys. Rev. D 83, 045030 (2011)], which investigated the first-order quantum effect in the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field. Specifically, we investigate the quantum Larmor radiation from a moving charge in a monochromatic electromagnetic plane wave background based on the scalar quantum electrodynamics at the lowest order of the perturbation theory. Using the in-in formalism, we derive the theoretical formula of the total radiation energy from a charged particle in the initial states being at rest and being in a relativistic motion. Expanding the theoretical formula in terms of the Planck constant h, we obtain the first-order quantum effect on the Larmor radiation. The quantum effect generally suppresses the total radiation energy compared with the prediction of the classical Larmor formula, which is a contrast to the previous work. The reason is explained by the fact that the radiation from a moving charge in a monochromatic electromagnetic plane wave is expressed in terms of the inelastic collisions between an electron and photons of the background electromagnetic waves.. |
| 40. | Rampei Kimura, Kazuhiro Yamamoto, Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2012/07/050, 7, 7, 50, 2012.07, We demonstrate that the general second-order scalar-tensor theories, which have attracted attention as possible modified gravity models to explain the late time cosmic acceleration, could be strongly constrained from the argument of the gravitational Cherenkov radiation. To this end, we consider the purely kinetic coupled gravity and the extended galileon model on a cosmological background. In these models, the propagation speed of tensor mode could be less than the speed of light, which puts very strong constraints from the gravitational Cherenkov radiation.. |
| 41. | Rampei Kimura, Tsutomu Kobayashi, Kazuhiro Yamamoto, Observational constraints on kinetic gravity braiding from the integrated Sachs-Wolfe effect, PHYSICAL REVIEW D, 10.1103/PhysRevD.85.123503, 85, 12, 2012.06, The cross correlation between the integrated Sachs-Wolfe (ISW) effect and the large-scale structure is a powerful tool to constrain dark energy and alternative theories of gravity. In this paper, we obtain observational constraints on kinetic gravity braiding from the ISW-large-scale-structure cross correlation. We find that the late-time ISW effect in the kinetic gravity braiding model anticorrelates with large-scale structures in a wide range of parameters, which clearly demonstrates how one can distinguish modified gravity theories from the lambda cold dark matter model using the ISW effect.. |
| 42. | Tatsuya Narikawa, Kazuhiro Yamamoto, Testing gravity with halo density profiles observed through gravitational lensing, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2012/05/016, 5, 2012.05, We present a new test of the modified gravity endowed with the Vainshtein mechanism with the density profile of a galaxy cluster halo observed through gravitational lensing. A scalar degree of freedom in the galileon modified gravity is screened by the Vainshtein mechanism to recover Newtonian gravity in high-density regions, however it might not be completely hidden on the outer side of a cluster of galaxies. Then the modified gravity might yield an observational signature in a surface mass density of a cluster of galaxies measured through gravitational lensing, since the scalar field could contribute to the lensing potential. We investigate how the transition in the Vainshtein mechanism affects the surface mass density observed through gravitational lensing, assuming that the density profile of a cluster of galaxies follows the original Navarro-Frenk-White (NFW) profile, the generalized NFW profile and the Einasto profile. We compare the theoretical predictions with observational results of the surface mass density reported recently by other researchers. We obtain constraints on the amplitude and the typical scale of the transition in the Vainshtein mechanism in a subclass of the generalized galileon model.. |
| 43. | Rampei Kimura, Tsutomu Kobayashi, Kazuhiro Yamamoto, Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory, PHYSICAL REVIEW D, 10.1103/PhysRevD.85.024023, 85, 2, 2012.01, A generic second-order scalar-tensor theory contains a nonlinear derivative self-interaction of the scalar degree of freedom phi a la Galileon models, which allows for the Vainshtein screening mechanism. We investigate this effect on subhorizon scales in a cosmological background, based on the most general second-order scalar-tensor theory. Our analysis takes into account all the relevant nonlinear terms and the effect of metric perturbations consistently. We derive an explicit form of Newton's constant, which in general is time-dependent and hence is constrained from observations, as suggested earlier. It is argued that in the most general case the inverse-square law cannot be reproduced on the smallest scales. Some applications of our results are also presented.. |
| 44. | Tatsuya Narikawa, Rampei Kimura, Tatsunosuke Yano, Kazuhiro Yamamoto, HALO MODELS IN MODIFIED GRAVITY THEORIES WITH SELF-ACCELERATED EXPANSION, INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 10.1142/S0218271811020421, 20, 12, 2383-2397, 2011.11, We investigate the structure of halos in the sDGP (self-accelerating branch of the Dvali-Gavadadze-Porrati braneworld gravity) model and the Galileon modified gravity model on the basis of the static and spherically symmetric solutions of the collisionless Boltzmann equation, which reduce to the singular isothermal sphere model and the King model in the limit of Newtonian gravity. The common feature of these halos is that the density of a halo in the outer region is larger (smaller) in the sDGP (Galileon) model, respectively, in comparison with Newtonian gravity. This comes from the suppression (enhancement) of the effective gravity at large distance in the sDGP (Galileon) model, respectively. However, the difference between these modified gravity models and Newtonian gravity only appears outside the halo due to the Vainshtein mechanism, which makes it difficult to distinguish between them. We also discuss the case in which the halo density profile is fixed independently of the gravity model for comparison between our results and previous work.. |
| 45. | Rampei Kimura, Kazuhiro Yamamoto, Large scale structures in the kinetic gravity braiding model that can be unbraided, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2011/04/025, 4, 2011.04, We study cosmological consequences of a kinetic gravity braiding model, which is proposed as an alternative to the dark energy model. The kinetic braiding model we study is characterized by a parameter n, which corresponds to the original galileon cosmological model for n = 1. We find that the background expansion of the universe of the kinetic braiding model is the same as the Dvali-Turner's model, which reduces to that of the standard cold dark matter model with a cosmological constant (Lambda CDM model) for n equal to infinity. We also find that the evolution of the linear cosmological perturbation in the kinetic braiding model reduces to that of the Lambda CDM model for n = 1. Then, we focus our study on the growth history of the linear density perturbation as well as the spherical collapse in the nonlinear regime of the density perturbations, which might be important in order to distinguish between the kinetic braiding model and the Lambda CDM model when n is finite. The theoretical prediction for the large scale structure is confronted with the multipole power spectrum of the luminous red galaxy sample of the Sloan Digital Sky survey. We also discuss future prospects of constraining the kinetic braiding model using a future redshift survey like the WFMOS/SuMIRe PFS survey as well as the cluster redshift distribution in the South Pole Telescope survey.. |
| 46. | Yuta Habara, Kazuhiro Yamamoto, ANALYTIC APPROACH TO PERTURBED EINSTEIN RING WITH ELLIPTICAL NFW LENS MODEL, INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 10.1142/S0218271811018834, 20, 3, 371-400, 2011.03, We investigate the validity of the approximate method to describe a strong gravitational lensing which was extended by Alard on the basis of a perturbative approach to an Einstein ring. Adopting an elliptical Navarro-Frenk-White (NFW) lens model, we demonstrate how the approximate method works, focusing on the shape of the image, the magnification, caustics, and the critical line. Simplicity of the approximate method enables us to investigate the lensing phenomena in an analytic way. We derive simple approximate formulas which characterize a lens system near the Einstein ring.. |
| 47. | Rampei Kimura, Gen Nakamura, Kazuhiro Yamamoto, Quantum Larmor radiation in a conformally flat universe, PHYSICAL REVIEW D, 10.1103/PhysRevD.83.045015, 83, 4, 2011.02, We investigate the quantum effect on the Larmor radiation from a moving charge in an expanding universe based on the framework of the scalar quantum electrodynamics. A theoretical formula for the radiation energy is derived at the lowest order of the perturbation theory with respect to the coupling constant of the scalar quantum electrodynamics. We evaluate the radiation energy on the background universe so that the Minkowski spacetime transits to the Milne universe, in which the equation of motion for the mode function of the free complex scalar field can be exactly solved in an analytic way. Then, the result is compared with the WKB approach, in which the equation of motion of the mode function is constructed with the WKB approximation which is valid as long as the Compton wavelength is shorter than the Hubble horizon length. This demonstrates that the quantum effect on the Larmor radiation of the order e(2)(h) over bar is determined by a nonlocal integration in time depending on the background expansion. We also compare our result with a recent work by Higuchi and Walker [Phys. Rev. D 80, 105019 (2009)], which investigated the quantum correction to the Larmor radiation from a charged particle in a nonrelativistic motion in a homogeneous electric field.. |
| 48. | Kazuhiro Yamamoto, Gen Nakamura, First-order quantum correction to the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field, PHYSICAL REVIEW D, 10.1103/PhysRevD.83.045030, 83, 4, 2011.02, First-order quantum correction to the Larmor radiation is investigated on the basis of the scalar QED on a homogeneous background of a time-dependent electric field, which is a generalization of a recent work by Higuchi and Walker so as to be extended for an accelerated charged particle in a relativistic motion. We obtain a simple approximate formula for the quantum correction in the limit of the relativistic motion when the direction of the particle motion is parallel to that of the electric field.. |
| 49. | Takahiro Sato, Gert Huetsi, Kazuhiro Yamamoto, Deconvolution of Window Effect in Galaxy Power Spectrum Analysis, PROGRESS OF THEORETICAL PHYSICS, 10.1143/PTP.125.187, 125, 1, 187-197, 2011.01, We developed a new method of deconvolving the smearing effect of the survey window in the analysis of the galaxy multipole power spectra from a redshift survey. This method is based on the deconvolution theorem, and is compatible with the use of the fast Fourier transform. It is possible to measure the multipole power spectra deconvolved from the window effect efficiently. Applying this method to the luminous red galaxy sample of the Sloan Digital Sky Survey data release 7 as well as mock catalogues, we demonstrate how the method works properly. By this deconvolution technique, the amplitude of the multipole power spectrum is corrected. Besides, the covariance matrices of the deconvolved power spectra become quite close to the diagonal form. This is also advantageous in the study of the BAO signature.. |
| 50. | Kazuhiro Yamamoto, Gen Nakamura, Gert Hutsi, Tatsuya Narikawa, Takahiro Sato, Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey, PHYSICAL REVIEW D, 10.1103/PhysRevD.81.103517, 81, 10, 2010.05, A constraint on the viable f(R) model is investigated by confronting theoretical predictions with the multipole power spectrum of the luminous red galaxy sample of the Sloan Digital Sky Survey, data release 7. We obtain a constraint on the Compton wavelength parameter of the f(R) model on the scales of cosmological large-scale structure. A prospect of constraining the Compton wavelength parameter with a future redshift survey is also investigated. The usefulness of the redshift-space distortion for testing the gravity theory on cosmological scales is demonstrated.. |
| 51. | Tatsuya Narikawa, Kazuhiro Yamamoto, Characterizing the linear growth rate of cosmological density perturbations in an f(R) model, Physical Review D - Particles, Fields, Gravitation and Cosmology, 10.1103/PhysRevD.81.043528, 81, 4, 2010.02, We investigate the linear growth rate of cosmological matter density perturbations in a viable f(R) model both numerically and analytically. We find that the growth rate in the scalar-tensor regime can be characterized by a simple analytic formula. We also investigate a prospect of constraining the Compton wavelength scale of the f(R) model with a future weak lensing survey. © 2010 The American Physical Society.. |
| 52. | Gen Nakamura, Gert Hutsi, Takahiro Sato, Kazuhiro Yamamoto, Constraint on the growth factor of the cosmic structure from the damping of the baryon acoustic oscillation signature, PHYSICAL REVIEW D, 10.1103/PhysRevD.80.123524, 80, 12, 2009.12, We determine a constraint on the growth factor by measuring the damping of the baryon acoustic oscillations in the matter power spectrum using the Sloan digital sky survey luminous red galaxy sample. We obtain an effective upper limit on sigma(8)D(1)(z=0.3) using the damping of the baryon acoustic oscillation signature, where sigma(8) is the root mean square overdensity in a sphere of radius 8h(-1) Mpc and D(1)(z) is the growth factor at redshift z. The above result assumes that other parameters are fixed and the cosmology is taken to be a spatially flat cold dark matter universe with the cosmological constant.. |
| 53. | Kazuhiro Yamamoto, Tsutomu Kobayashi, Gen Nakamura, Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz cosmology, PHYSICAL REVIEW D, 10.1103/PhysRevD.80.063514, 80, 6, 2009.09, We study the spectral tilt of primordial perturbations in Horava-Lifshitz cosmology. The uniform approximation, which is a generalization of the familiar Wentzel-Kramers-Brillouin method, is employed to compute the spectral index both numerically and analytically in a closed form. We clarify how the spectral index depends on the inflation model and parameters in the modified dispersion relation.. |
| 54. | Hidenori Nomura, Kazuhiro Yamamoto, Gert Hütsi, Takahiro Nishimichi, Confronting the damping of the baryon acoustic oscillations with observation, Physical Review D - Particles, Fields, Gravitation and Cosmology, 10.1103/PhysRevD.79.063512, 79, 6, 2009.03, We investigate the damping of the baryon acoustic oscillations in the matter power spectrum due to the quasinonlinear clustering and redshift-space distortions by confronting the models with the observations of the Sloan Digital Sky Survey luminous red galaxy sample. The chi-squared test suggests that the observed power spectrum is better matched by models with the damping of the baryon acoustic oscillations rather than the ones without the damping. © 2009 The American Physical Society.. |
| 55. | Hidenori Nomura, Kazuhiro Yamamoto, Takahiro Nishimichi, Damping of the baryon acoustic oscillations in the matter power spectrum as a probe of the growth factor, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2008/10/031, 10, 2008.10, We investigate the damping of the baryon acoustic oscillation (BAO) signature in the matter power spectrum due to the quasi-non-linear clustering of density perturbations. On the basis of the third-order perturbation theory, we construct a fitting formula for the damping in an analytic way. This demonstrates that the damping is closely related to the growth factor and the amplitude of the matter power spectrum. Then, we investigate the feasibility of constraining the growth factor through a measurement of the damping of the BAO signature. An extension of our formula including higher order corrections of density perturbations is also discussed.. |
| 56. | Kazuhiro Yamamoto, Takahiro Sato, Gert Hutsi, Testing General Relativity with the Multipole Spectra of the SDSS Luminous Red Galaxies, PROGRESS OF THEORETICAL PHYSICS, 10.1143/PTP.120.609, 120, 3, 609-614, 2008.09, As a test of general relativity on cosmological scales, we measure the gamma parameter for the growth rate of density perturbations using the redshift-space distortion of the luminous red galaxies in the Sloan Digital Sky Survey (SDSS). Assuming the cosmological constant model, which matches the results of the WMAP experiment, we find gamma = 0.62 + 1.8(sigma(8) - 0.8) +/- 0.11 at 1-sigma confidence level, which is consistent with the prediction of general relativity, gamma similar or equal to - 0.55 similar to 0.56. Rather high value of sigma(8)(>= 0.87) is required to be consistent with the prediction of the cosmological DGP model, gamma similar or equal to 0.68.. |
| 57. | Takahiro Sato, Bobby E. Gunara, Kazuhiro Yamamoto, Freddy P. Zen, Astrophysical condition on the attolensing as a possible probe for a modified gravity theory, INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 10.1142/S0217751X08038093, 23, 1, 167-179, 2008.01, We investigate the wave effect in the gravitational lensing by a black hole with very tiny mass less than 10(-19) M-sun (solar mass), which is called attolensing, motivated by a recent report that the lensing signature might be a possible probe of a modified gravity theory in the braneworld scenario. We focus on the finite source size effect and the effect of the relative motion of the source to the lens, which are influential to the wave effect in the attolensing. Astrophysical condition that the lensed interference signature can be a probe of the modified gravity theory is demonstrated. The interference signature in the microlensing system is also discussed.. |
| 58. | Takahiro Nishimichi, Hiroshi Ohmur, Masashi Nakamichi, Atsushi Taruya, Kazuhiro Yahata, Akihito Shirata, Shun Saito, Hidenori Nomura, Kazuhiro Yamamoto, Yasushi Suto, Characteristic scales of baryon acoustic oscillations from perturbation theory: Nonlinearity and redshift-space distortion effects, PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 10.1093/pasj/59.6.1049, 59, 6, 1049-1060, 2007.12, An acoustic oscillation of the primeval photon-baryon fluid around the decoupling time imprints a characteristic scale in the galaxy distribution today, known as the baryon acoustic oscillation (BAO) scale. Several ongoing and/or future galaxy surveys aim to detect and precisely determine the BAO scale so as to trace the expansion history of the universe. We consider nonlinear and redshift-space distortion effects on the shifts of the BAO scale in k-space using perturbation theory. The resulting shifts are indeed sensitive to different choices for the definition of the BAO scale, which needs to be kept in mind in the data analysis. We present a toy model to explain the physical behavior of the shifts. We find that the BAO scale defined as in Percival et al. (2007, ApJ, 657, 5 1) indeed shows very small shifts (less than or similar to 1%) relative to the prediction in linear theory in real space. The shifts can be predicted accurately for scales where perturbation theory is reliable.. |
| 59. | Kazuhiro Yamamoto, David Parkinson, Takashi Hamana, Robert C. Nichol, Yasushi Suto, Optimizing future imaging survey of galaxies to confront dark energy and modified gravity models, Physical Review D - Particles, Fields, Gravitation and Cosmology, 10.1103/PhysRevD.76.023504, 76, 2, 2007.07, We consider the extent to which future imaging surveys of galaxies can distinguish between dark energy and modified gravity models for the origin of the cosmic acceleration. Dynamical dark energy models may have similar expansion rates as models of modified gravity, yet predict different growth of structure histories. We parametrize the cosmic expansion by the two parameters, w0 and wa, and the linear growth rate of density fluctuations by Linder's γ, independently. Dark energy models generically predict γ≈0.55, while the Dvali-Gabadadze-Porrati (DGP) model γ≈0.68. To determine if future imaging surveys can constrain γ within 20% (or Δγ< 0.1), we perform the Fisher matrix analysis for a weak-lensing survey such as the ongoing Hyper Suprime-Cam (HSC) project. Under the condition that the total observation time is fixed, we compute the figure of merit (FoM) as a function of the exposure time texp. We find that the tomography technique effectively improves the FoM, which has a broad peak around texp several∼10min a shallow and wide survey is preferred to constrain the γ parameter. While Δγ< 0.1 cannot be achieved by the HSC weak-lensing survey alone, one can improve the constraints by combining with a follow-up spectroscopic survey like Wide-field Fiber-fed Multi-Object Spectrograph (WFMOS) and/or future cosmic microwave background (CMB) observations. © 2007 The American Physical Society.. |
| 60. | Hidenori Nomura, Misao Sasaki, Kazuhiro Yamamoto, Classical and quantum radiation from a moving charge in an expanding universe, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2006/11/013, 11, 2006.11, We investigate photon emission from a moving particle in an expanding universe. This process is analogous to the radiation from an accelerated charge in the classical electromagnetic theory. Using the framework of quantum field theory in curved spacetime, we demonstrate that the Wentzel-Kramers-Brillouin (WKB) approximation leads to the Larmor formula for the rate of the radiation of energy from a moving charge in an expanding universe. Using exactly solvable models in a radiation-dominated universe and in a Milne universe, we examine the validity of the WKB formula. It is shown that the quantum effect suppresses the radiation energy in comparison with the WKB formula.. |
| 61. | Kazuhiro Yamamoto, Bruce A. Bassett, Robert C. Nichol, Yasushi Suto, Kazuhiro Yahata, Searching for modified gravity with baryon oscillations: From SDSS to wide field multiobject spectroscopy (WFMOS), PHYSICAL REVIEW D, 10.1103/PhysRevD.74.063525, 74, 6, 2006.09, We discuss how the baryon acoustic oscillation (BAO) signatures in the galaxy power spectrum can distinguish between modified gravity and the cosmological constant as the source of cosmic acceleration. To this end we consider a model characterized by a parameter n, which corresponds to the Dvali-Gabadadze-Porrati (DGP) model if n=2 and reduces to the standard spatially flat cosmological constant concordance model for n equal to infinity. We find that the different expansion histories of the modified gravity models systematically shifts the peak positions of BAO. A preliminary analysis using the current SDSS luminous red galaxy (LRG) sample indicates that the original DGP model is disfavored unless the matter density parameter exceeds 0.3. The constraints will be strongly tightened with future spectroscopic samples of galaxies at high redshifts. We demonstrate that WFMOS, in collaboration with other surveys such as Planck, will powerfully constrain modified gravity alternatives to dark energy as the explanation of cosmic acceleration.. |
| 62. | K Yamamoto, M Nakamichi, A Kamino, BA Bassett, H Nishioka, A measurement of the quadrupole power spectrum in the clustering of the 2dF QSO survey, PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 10.1093/pasj/58.1.93, 58, 1, 93-102, 2006.02, We report on a measurement of the quadrupole power spectrum in the two degree field (2dF) QSO redshift (2QZ) survey. The analysis used an algorithm parallel to that for estimating the standard monopole power spectrum Without first requiring computation of the correlation function or the anisotropic power spectrum. The error on the quadrupole spectrum was rather large, but the best-fit value of the bias parameter from the quadrupole spectrum is consistent with that from previous investigations of the 2dF data.. |
| 63. | N Matsunaga, K Yamamoto, The finite source size effect and wave optics in gravitational lensing - art. no. 023, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2006/01/023, 1, 2006.01, We investigate the finite source size effect in the context of the wave optics in gravitational lensing. The magnification of an extended source is presented in an analytic manner for the singular isothermal sphere lens model as well as the point mass lens model with the use of the thin lens approximation. The condition that the finite source size effect becomes substantial is demonstrated. As an application, we discuss the possible observational consequences of the finite source size effect on astrophysical systems.. |
| 64. | T Hattori, K Yamamoto, Non-Gaussianity in multi-field stochastic inflation with the scaling approximation, JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 10.1088/1475-7516/2005/07/005, 7, 2005.07, The statistics of multi-field inflation are investigated using the stochastic approach. We analytically obtain the probability distribution function of fields with the scaling approximation by extending the previous work by Amendola. The non-Gaussian nature of the probability distribution function is investigated by decomposing the fields into the adiabatic and isocurvature components. We find that the non-Gaussianity of the isocurvature component can be large compared with that of the adiabatic component. The adiabatic and isocurvature components may be correlated at nonlinear order in the skewness and kurtosis even if uncorrelated at linear level.. |
| 65. | K Yamamoto, Modulation of a chirp gravitational wave from a compact binary due to gravitational lensing, PHYSICAL REVIEW D, 10.1103/PhysRevD.71.101301, 71, 10, 2005.05, A possible wave effect in the gravitational lensing phenomenon is discussed. We consider the interference of two coherent gravitational waves of slightly different frequencies from a compact binary, due to the gravitational lensing by a galaxy halo. This system shows the modulation of the wave amplitude. The lensing probability of such the phenomenon is of order 10(-5) for a high-z source, but it may be advantageous to the observation due to the magnification of the amplitude.. |
| 66. | K Yamamoto, BA Bassett, H Nishioka, Dark energy reflections in the redshift-space quadrupole, PHYSICAL REVIEW LETTERS, 10.1103/PhysRevLett.94.051301, 94, 5, 051302, 2005.02, We show that the redshift-space quadrupole will be a powerful tool for constraining dark energy even if the baryon oscillations are missing from the monopole power spectrum and bias is scale and time dependent. We calculate the accuracy with which next-generation galaxy surveys such as KAOS will measure the quadrupole power spectrum, which gives the leading anisotropies in the power spectrum in redshift space due to linear velocity, and the so-called "Finger of God" and Alcock-Paczynski effects. Combining the monopole and quadrupole power spectra, in the complete absence of baryon oscillations (Omega(b) = 0), leads to a roughly 500% improvement in constraints on dark energy compared with those from the monopole spectrum alone.. |
| 67. | K Yamamoto, Power spectrum analysis of the two-degree field QSO sample revisited, ASTROPHYSICAL JOURNAL, 10.1086/382496, 605, 2, 620-624, 2004.04, We revisit the power spectrum analysis of the complete sample of the Two-Degree field (2dF) QSO redshift (2QZ) survey, as a complementary test of the work by Outram et al. A power spectrum consistent with that of the 2QZ group is obtained. Differently from their approach, fitting of the power spectrum is investigated by incorporating the nonlinear effects, the geometric distortion, and the light-cone effect. It is shown that the QSO power spectrum is consistent with a Lambda cold dark matter model with the matter density parameter Omega(m) = 0.2-0.5. Our constraint on the density parameter is rather weaker than that of the 2QZ group. We also show that the constraint slightly depends on equation-of-state parameter w of the dark energy. The constraint on w from the QSO power spectrum is demonstrated, although it is not very tight.. |
| 68. | K Yamamoto, Optimal weighting scheme in redshift-space power spectrum analysis and a prospect for measuring the cosmic equation of state, ASTROPHYSICAL JOURNAL, 10.1086/377488, 595, 2, 577-588, 2003.10, We develop a useful formula for power spectrum analysis for high- and intermediate-redshift galaxy samples, as an extension of the work by Feldman, Kaiser & Peacock. An optimal weight factor, which minimizes the errors of the power spectrum estimator, is obtained so that the light cone effect and redshift-space distortions are incorporated. Using this formula, we assess the feasibility of the power spectrum analysis with the luminous red galaxy (LRG) sample in the Sloan Digital Sky Survey as a probe of the equation of state of the dark energy. Fisher matrix analysis shows that the LRG sample can be sensitive to the equation of state around redshift z = 0.13. It is also demonstrated that the LRG sample can constrain the equation of state with (1sigma) error of 10% level, if other fundamental cosmological parameters are well determined independently. For a useful constraint, we point out the importance of modeling the bias, taking the luminosity dependence into account. We also discuss the optimized strategy to constrain the equation of state using power spectrum analysis. For a sample with a fixed total number of objects, it is most advantageous to have a sample with the mean number density 10(-4) h(3) Mpc(-3) in the range of the redshift 0.4 less than or similar to z less than or similar to 1.. |
| 69. | K Yamamoto, Measuring cosmological parameters with the SDSS QSO spatial power spectrum analysis to test the cosmological principle, MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 10.1046/j.1365-8711.2003.06477.x, 341, 4, 1199-1204, 2003.06, In this paper we emphasize the importance of the Sloan Digital Sky Survey (SDSS) quasi-stellar object (QSO) clustering statistics as a unique probe of the Universe. Because the complete SDSS QSO sample covers a quarter of the observable Universe, cosmological parameters estimated from the clustering statistics have an implication as a test of the cosmological principle, by comparing with those from local galaxies and other cosmological observations. Using an analytical approach to the power spectrum for the QSO sample, we assess the accuracy with which the cosmological parameters can be determined. Arguments based on the Fisher matrix approach demonstrate that the SDSS QSO sample might have a potential to provide useful constraints on the density parameters as well as the cosmic equation of state.. |
| 70. | K Yamamoto, Cosmological constraint from the 2dF QSO spatial power spectrum, MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 10.1046/j.1365-8711.2002.05575.x, 334, 4, 958-962, 2002.08, We obtain constraints on the cosmological density parameters, Omega(m) and Omega(b), by comparing the preliminary measurement of the quasi-stellar object (QSO) power spectrum from the Two-Degree Field (2dF) QSO Redshift (2QZ) survey with results from an analytic technique of power spectrum estimation, described herein. We demonstrate the validity of the analytic approach by comparing the results with the power spectrum of an N -body simulation. We find a better fit to the shape of the QSO power spectrum for low-density models with Omega(m) = 0.1-0.4. We show that a finite baryon fraction Omega(b) /Omega(m) = 0.2, consistent with observations of the cosmic microwave background anisotropies and nucleosynthesis, fits the observational result of the 2QZ survey better, though the constraint is not very tight. By using the Fisher matrix technique, we investigate just how large a survey would be required before a significant constraint on the density parameters could be obtained. We demonstrate that the constraint could be significantly improved if the survey was four times larger.. |
| 71. | K Yamamoto, Y Kadoya, T Murata, T Futamase, Feasibility of probing dark energy with strong gravitational lensing systems - Fisher-Matrix approach, PROGRESS OF THEORETICAL PHYSICS, 10.1143/PTP.106.917, 106, 5, 917-928, 2001.11, We assess the feasibility of probing dark energy with strong gravitational lensing systems. The capability of the method, which depends on the accuracy with which the lensing systems are modeled, is quantitatively investigated using the Fisher-matrix formalism. We show that this method might place useful constraints on the density parameter and the redshift evolution of the dark energy by combining it with a constraint from supernova measurements. For this purpose., the lens potential needs to be precisely reconstructed. Ve determine the required quality of data. We also briefly discuss the optimal strategy to constrain the cosmological parameters using gravitational lensing systems.. |
| 72. | T Murata, K Tsunoda, K Yamamoto, Explicit derivation of the fluctuation-dissipation relation of the vacuum noise in the N-dimensional de Sitter space-time, INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 10.1142/S0217751X01004244, 16, 16, 2841-2857, 2001.06, Motivated by a recent work by Terashima (Phys. Rev. D60, 084001), we revisit the fluctuation-dissipation (FD) relation between the dissipative coefficient of a detector and the vacuum noise of fields in curved space-time. In an explicit manner we show that the dissipative coefficient obtained from classical equations of motion of the detector and the scalar (or Dirac) field satisfies the FD relation associated with the vacuum noise of the held, which demonstrates that Terashima's prescription works properly in the N-dimensional de Sitter space-time. This practice is useful not only to reconfirm the validity of the use of the retarded Green function to evaluate the dissipative coefficient from the classical equations of motion but also to understand why the derivation works properly, which is discussed in connection with previous investigations on the basis of the Kubo-Martin-Schwinger (KMS) condition. Possible application to black hole spacetime is also briefly discussed.. |
| 73. | K Yamamoto, T Futamase, Possible method to reconstruct the cosmic equation of state from strong gravitational lensing systems, PROGRESS OF THEORETICAL PHYSICS, 10.1143/PTP.105.707, 105, 5, 707-716, 2001.05, A possible method to reconstruct the cosmic equation of state using strong gravitational lensing systems is proposed. The feasibility of the method is investigated by carrying out the reconstruction on the basis of a simple Monte-Carlo simulation. We show that the method can work and that the cosmic equation of state w(z) can be determined within errors of Deltaw similar to +0.1 - +0.2 when a sufficiently large number of lensing systems (N similar to 20) for z less than or similar to 1 are precisely measured. Statistics of lensed sources in a wide and deep survey like the SDSS are also briefly discussed.. |
| 74. | A Taruya, K Yamamoto, Isodensity statistics on clustering of high-z objects in cosmological redshift spaces, ASTROPHYSICAL JOURNAL, 10.1086/319795, 550, 2, 528-546, 2001.04, We discuss the systematic effects arising from the cosmological redshift space (geometric) distortion on the statistical analysis of the isodensity contour using high-redshift catalogs. In particular, we present a simple theoretical model for isodensity statistics in cosmological redshift space, as a generalization of earlier work by Matsubara. The statistical quantities considered here are the two- and three-dimensional genus of the isodensity contour, the surface area, the length of the contour intersecting with a plane, and the number of crossing points of the isodensity contour on a line. We give useful analytic formulae for the isodensity statistics, which take into account corrections from the geometric distortion, the nonlinear clustering, and the nonlinear velocity distortion phenomenologically. We then demonstrate how the geometric distortion and the nonlinear corrections alter the shapes of the statistical quantities on the basis of plausible cosmological models. Our results show that the nonlinear correction can be sensitive to a choice of the redshift-space coordinate as increasing the redshift. The low-dimensional quantities, such as the two-dimensional genus, systematically yield anisotropy due to the geometric and velocity distortions, and their angle-dependence shows a 10%-20% difference of amplitude. Sensitivities for typical high-redshift samples are estimated in an analytic manner, and the influence of the light-cone effect for the isodensity statistics is also discussed. A simple estimation suggests that the systematic effects of geometric and redshift-space distortions can become comparable to or even dominate the statistical error of deep cluster samples and future high-redshift galaxy surveys. These systematic effects might be a useful tool in probing the cosmological model of our universe.. |
| 75. | K Yamamoto, H Nishioka, Can the geometric test probe the cosmic equation of state?, ASTROPHYSICAL JOURNAL, 10.1086/319135, 549, 1, L15-L19, 2001.03, The feasibility of the geometric test as a probe of the cosmic equation of state of the dark energy is discussed assuming the future Two Degree Field QSO sample. We examine the sensitivity of the QSO two-point correlation functions, which are theoretically computed incorporating the light cone effect and the redshift distortions, as well as the nonlinear effect, to a bias model whose evolution is phenomenologically parameterized. It is shown that the correlation functions are sensitive to a mean amplitude of the bias and not to the speed of the redshift evolution. We will also demonstrate that an optimistic geometric test could suffer from the possibility that a signal from the cosmological model can be confused with that from a stochastic character of the bias.. |
| 76. | GC Liu, K Yamamoto, N Sugiyama, H Nishioka, Nonlinear evolution of very small scale cosmological baryon perturbations at recombination, ASTROPHYSICAL JOURNAL, 10.1086/318352, 547, 1, 1-11, 2001.01, The evolution of baryon density perturbations on very small scales is investigated. In particular, the nonlinear growth induced by the radiation drag force from the shear velocity field on larger scales during the recombination epoch, originally proposed by Shaviv in 1998, is studied in detail. We find that inclusion of the diffusion term, which Shaviv neglected in his analysis, results in rather mild growth with growth factor |
| 77. | H Nishioka, K Yamamoto, Redshift-space distortions of the power spectrum of cosmological objects on a light cone: Explicit formulations and theoretical implications, ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES, 10.1086/313381, 128, 1, 1-16, 2000.05, We examine the effects of the linear and the cosmological redshift-space distortions on the power spectrum of cosmological objects on a light cone. We develop theoretical formulae for the power spectrum in linear theory of density perturbations in a rigorous manner starting from a first principle corresponding to Fourier analysis. Approximate formulae, which are useful properly to incorporate the redshift-space distortion effects into the power spectrum, are derived, and the validity is examined. Applying our formulae to galaxy and quasar samples that roughly match the Sloan Digital Sky Survey, we will show how the redshift-space distortions distort the power spectrum on the light cone quantitatively.. |
| 78. | Y Suto, K Yamamoto, T Kitayama, YP Jing, Two-point correlation functions of X-ray-selected clusters of galaxies: Theoretical predictions for flux-limited surveys, ASTROPHYSICAL JOURNAL, 10.1086/308778, 534, 2, 551-558, 2000.05, We have developed a model to describe two-point correlation functions of clusters of galaxies in X-ray flux limited surveys. Our model properly takes into account nonlinear gravitational evolution of mass fluctuations, redshift-space distortion due to linear peculiar velocity fields and to fingers-of-god, cluster abundance, and bias evolution on the basis of the Press-Schechter theory, the light-cone effect, and the selection function due to the X-ray flux, temperature, and luminosity limits. Applying this model in representative cosmological models, we present quantitative predictions for X-ray-selected samples that should be feasible from future surveys with the X-ray satellites, including Astro-E, Chandra, and XMM. The comparison of these predictions and the observed cluster clustering will generate important cosmological constraints that complement the duster abundance and the cosmic microwave background.. |
| 79. | Y Suto, H Magira, K Yamamoto, Light-cone effect on clustering statistics in cosmological redshift space, PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 10.1093/pasj/52.2.249, 52, 2, 249-257, 2000.04, We present a theoretical formalism to predict two-point clustering statistics (the power spectrum and the two-point correlation function), which simultaneously takes account of the linear velocity distortion, the nonlinear velocity distortion (finger-of-god), the cosmological redshift-space distortion, and the light-cone effect. To demonstrate the importance of these effects in exploring the clustering of objects at high redshifts, we show several model predictions for magnitude-limited surveys of galaxies and quasars. This methodology provides a quantitative tool to test various theoretical models against the upcoming precision data on clustering in the universe.. |
| 80. | Y Suto, H Magira, K Yamamoto, Light-cone effect on clustering statistics in cosmological redshift space, PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN, 10.1093/pasj/52.2.249, 52, 2, 249-257, 2000.04, We present a theoretical formalism to predict two-point clustering statistics (the power spectrum and the two-point correlation function), which simultaneously takes account of the linear velocity distortion, the nonlinear velocity distortion (finger-of-god), the cosmological redshift-space distortion, and the light-cone effect. To demonstrate the importance of these effects in exploring the clustering of objects at high redshifts, we show several model predictions for magnitude-limited surveys of galaxies and quasars. This methodology provides a quantitative tool to test various theoretical models against the upcoming precision data on clustering in the universe.. |
| 81. | Cosmological Light-Cone Effect on the Power Spectrum of Galaxies and Quasars in Wide-Field Redshift Surveys. |
| 82. | J. Hashida, S. Mukaigawa, T. Muta, K. Ohkura, K. Yamamoto, Model of curvature-induced phase transitions in the inflationary universe, Physical Review D - Particles, Fields, Gravitation and Cosmology, 10.1103/PhysRevD.59.101302, 59, 10, 101302-1-101302-4, 1999.04, Chiral phase transitions driven by space-time curvature effects are investigated in de Sitter space in the supersymmetric Nambu–Jona-Lasinio model with soft supersymmetry breaking. The model is considered to be suitable for the analysis of possible phase transitions in inflationary universe. It is found that a restoration of the broken chiral symmetry takes place in two patterns for increasing curvature: the first-order and second-order phase transition, respectively, depending on initial settings of the four-body interaction parameter and the soft supersymmetry breaking parameter. The critical curves expressing the phase boundaries in these parameters are obtained. Cosmological implications of the result are discussed in connection with bubble formations and the creation of cosmic strings during the inflationary era. © 1999 The American Physical Society.. |
| 83. | Two-Point Correlation Function of High-Redshift Objects on a Light-Cone ;Effect of the Linear Redshift-Space Distortion A theoretical formulation for the two-point correlation function on a light cone is developed in red-shift space. On the basis of the previous work by Yamamoto & Suto, in which a theoretical formula for the two-point correlation function on a light cone has been developed in real space, we extend it to the formula in redshift space by taking the peculiar velocity of the sources into account. A simple expression for the two-point correlation function is derived. We briefly discuss QSO correlation functions on a light cone adopting a simple model of the sources.. |
| 84. | Two-point correlation functions of high-redshift objects; an explicit formulation on a light-cone hypersurface While all the cosmological observations are carried out on a light cone, the null hypersurface of an observer at z = 0, the clustering statistics has been properly defined only on the constant-time hypersurface. We develop a theoretical formulation for a two-point correlation function on the light cone and derive a practical approximate expression relevant to the discussion of clustering of high-redshift objects at large separations. As a specific example, we present predictions of the two-point correlation function for the Durham/AAT, SDSS, and 2dF quasar catalogues. We also briefly discuss the effects of adopted luminosity function, cosmological parameters, and bias models on the correlation function on the light cone.. |
| 85. | Small-scale fluctuations in cosmic X-ray background ; A power spectrum approach. |
| 86. | Boltzmann approach to the large-angle cosmic X-ray background fluctuations. |
| 87. | Evolution of Small Scale Cosmological Baryon Perturbations and Matter Transfer Functions The evolution of small-scale cosmological perturbations is carefully reexamined. Through interactions with photons via electrons, baryon perturbations show interesting behavior on some physical scales. Characteristic features of the evolution of baryon density fluctuations are discussed. In CDM models, a power-law growing phase of the small-scale baryon density fluctuations is found, characterized by a terminal velocity after the diffusion (Silk) damping and before the decoupling epoch. A transfer function for total matter-density fluctuations is then studied by taking those physical processes into account. We present an analytic transfer function as a function of redshift z that is applicable for the entire range up to a solar-mass scale in the high-z universe, and that is also suitable for high baryon fraction models.. |
| 88. | On the Cosmic X-ray Background Fluctuations. |
| 89. | Quantum excitations of intrinsic degrees of freedom in multi-dimensional tunneling system. |
| 90. | Quantum fluctuations and CMB anisotropies in one bubble inflationary models. |
| 91. | Large Angle CMB Anisotropy in an Open Universe in the One-Bubble inflationary Scenario We consider an alternative scenario of inflation which can account for a spatially open universe. It is similar to the old inflation in which the bubble nucleation occurs in the sea of the false vacuum, but it differs from the old inflation in that the second slow rollover inflation occurs inside a nucleated bubble. Hence, our observable universe is entirely contained in one nucleated bubble. The significance of the scenario is that apart from a variance caused by model parameters, it gives us a definite prediction on the spectrum of the primordial density perturbations, and hence it is observationally testable. Here we investigate the spectrum of cosmic microwave background anisotropies on large angular scales. We find that the contribution from peculiar modes which never appear in the usual harmonic analysis is significant in the case Ω0 ≲ 0.1.. |
| 92. | Euclidean Vacuum mode function in an open slicing chart of de Sitter spacetime, [URL]. |
| 93. | Particle Spectrum Created through Bubble Nucleation and Quantum Field Theory in the Milne Universe, [URL]. |
| 94. | Skewness of Cosmic Microwave Background Anisotropy in an Inflationary Isocurvature Baryon Model. |
| 95. | Quantum Tunneling in Multidimensional tunneling systems. |
| 96. | Quantum state during and after nucleation of an O(4)-symmetric bubble, [URL]. |
| 97. | Field Theoretical Description of Quantum Fluctuation in Multi-dimensional Approach, [URL]. |
| 98. | Probability distribution functional in curved spaectime, [URL]. |
| 99. | , [URL]. |
| 100. | Quantum state inside a vacuum bubble and creation of an open universe. |
| 101. | K NAKAO, K YAMAMOTO, K MAEDA, APPARENT HORIZONS OF AN N-BLACK-HOLE SYSTEM IN A SPACE-TIME WITH A COSMOLOGICAL CONSTANT, PHYSICAL REVIEW D, 47, 8, 3203-3213, 1993.04, [URL], We present the analytic solution of N Einstein-Rosen bridges (''N black holes'') in the space-time with a cosmological constant LAMBDA and analyze it for one- and two-bridge systems. We discuss the three kinds of apparent horizons: i.e., the black-hole, white-hole, and cosmological apparent horizons. In the case of two Einstein-Rosen bridges, when the ''total mass'' is larger than a critical value, the black-hole apparent horizon surrounding two Einstein-Rosen bridges is not formed even if the distance is very short. Furthermore, in this case, the cosmological apparent horizon enclosing both bridges does not appear. Hence, it seems that when the ''total mass'' is very large, the Einstein-Rosen bridges cannot collapse into one black hole unless the ''gravitational mass'' is released in some way.. |
| 102. | , [URL]. |
| 103. | Motion of a Spherical Domain Wall and the Large-Scale Structure Formation. |
| 104. | Superexpansionary divergence. |
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