記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptad074

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptad009

記述言語：英語   掲載種別：研究論文（国際会議プロシーディングス）  

DOI： 10.22323/1.430.0177

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptac047

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptac003

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptab096

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptab100

記述言語：その他   掲載種別：研究論文（学術雑誌）  

We theoretically clarify the functional form to be used in t → 0 extrapolation in the small flow time expansion method for the energy-momentum tensor (EMT), which facilitates lattice simulation of the EMT based on the gradient flow. We argue that in the t → 0 extrapolation analysis, lattice data should be fitted by a power function in g(μ(t)), the flow time dependent running coupling, where the power is determined by the perturbation order we consider. From actual lattice data, we confirm the validity of the extrapolation function. Using the new extrapolation function, we present updated lattice results for thermodynamics quantities in quenched QCD; our results are consistent with the previous study [T. Iritani et al., Prog. Theor. Exp. Phys. 2019, 023B02 (2019)] but we obtain smaller errors due to the reduction of systematic errors.

DOI： 10.1093/ptep/ptab068

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptab006

記述言語：その他   掲載種別：研究論文（学術雑誌）  

Abstract

We study latent heat and the pressure gap between the hot and cold phases at the first-order deconfining phase transition temperature of the SU(3) Yang–Mills theory. Performing simulations on lattices with various spatial volumes and lattice spacings, we calculate the gaps of the energy density and pressure using the small flow-time expansion (SF$t$X) method. We find that the latent heat $Delta epsilon$ in the continuum limit is $Delta epsilon /T^4 = 1.117 pm 0.040$ for the aspect ratio $N_s/N_t=8$ and $1.349 pm 0.038$ for $N_s/N_t=6$ at the transition temperature $T=T_c$. We also confirm that the pressure gap is consistent with zero, as expected from the dynamical balance of two phases at $T_c$. From hysteresis curves of the energy density near $T_c$, we show that the energy density in the (metastable) deconfined phase is sensitive to the spatial volume, while that in the confined phase is insensitive. Furthermore, we examine the effect of alternative procedures in the SF$t$X method—the order of the continuum and the vanishing flow-time extrapolations, and also the renormalization scale and higher-order corrections in the matching coefficients. We confirm that the final results are all very consistent with each other for these alternatives.

DOI： 10.1093/ptep/ptaa184

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptaa184

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.102.059903

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptaa096

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.102.034508

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.102.014510

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptaa066

記述言語：英語   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptaa002

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptz157

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptz147

記述言語：その他   掲載種別：研究論文（学術雑誌）  

We propose a clear definition of the gluon condensate within the<br />
large-$eta_0$ approximation as an attempt toward a systematic argument on the<br />
gluon condensate. We define the gluon condensate such that it is free from a<br />
renormalon uncertainty, consistent with the renormalization scale independence<br />
of each term of the operator product expansion (OPE), and an identical object<br />
irrespective of observables. The renormalon uncertainty of<br />
$mathcal{O}(Lambda^4)$, which renders the gluon condensate ambiguous, is<br />
separated from a perturbative calculation by using a recently suggested<br />
analytic formulation. The renormalon uncertainty is absorbed into the gluon<br />
condensate in the OPE, which makes the gluon condensate free from the<br />
renormalon uncertainty. As a result, we can define the OPE in a renormalon-free<br />
way. Based on this renormalon-free OPE formula, we discuss numerical extraction<br />
of the gluon condensate using the lattice data of the energy density operator<br />
defined by the Yang--Mills gradient flow.

DOI： 10.1093/ptep/ptz100

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptz020

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.99.059904

記述言語：その他   掲載種別：研究論文（学術雑誌）  

Have computed the two-loop order (i.e., NNLO) coefficients in the gradient-flow representation of the energy-momentum tensor (EMT) in vector-like gauge theories. In this paper, we study the effect of the two-loop order corrections (and the three-loop order correction for the trace part of the EMT, which is available through the trace anomaly) on the lattice computation of thermodynamic quantities in quenched QCD. The use of the two-loop order coefficients generally reduces the t dependence of the expectation values of the EMT in the gradient-flow representation, where t is the flow time. With the use of the two-loop order coefficients, therefore, the t → 0 extrapolation becomes less sensitive to the fit function, the fit range, and the choice of the renormalization scale; the systematic error associated with these factors is considerably reduced.

DOI： 10.1093/ptep/ptz001

記述言語：その他   掲載種別：研究論文（学術雑誌）  

In K. Hieda, A. Kasai, H. Makino, and H. Suzuki, Prog. Theor. Exp. Phys. 2017, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) N = 1 super Yang-Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operators is expressed in a regularization-independent manner by employing the gradient flow. In the present paper, this construction is extended to the supercurrent in the 4D N = 2 SYM. The so-constructed supercurrent will be useful, for instance, for fine tuning of lattice parameters toward the supersymmetric continuum limit in future lattice simulations of the 4D N = 2 SYM.

DOI： 10.1093/ptep/pty117

記述言語：その他   掲載種別：研究論文（学術雑誌）  

It is believed that the two-dimensional massless N = 2 Wess-Zumino model becomes the N = 2 superconformal field theory (SCFT) in the infrared (IR) limit. We examine this theoretical conjecture of the Landau-Ginzburg (LG) description of the N = 2 SCFT by numerical simulations on the basis of a supersymmetric-invariant momentum-cutoff regularization. We study a single supermultiplet with cubic and quartic superpotentials. From two-point correlation functions in the IR region, we measure the scaling dimension and the central charge, which are consistent with the conjectured LG description of the A2 and A3 minimal models, respectively. Our result supports the theoretical conjecture and, at the same time, indicates a possible computational method of correlation functions in the N = 2 SCFT from the LG description.

DOI： 10.1093/ptep/pty088

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/pty073

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/pty050

記述言語：その他   掲載種別：研究論文（その他学術会議資料等）  

DOI： 10.1051/epjconf/201817511014

記述言語：その他   掲載種別：研究論文（その他学術会議資料等）  

DOI： 10.1051/epjconf/201817511013

記述言語：その他   掲載種別：研究論文（その他学術会議資料等）  

DOI： 10.1051/epjconf/201817507023

記述言語：その他   掲載種別：研究論文（その他学術会議資料等）  

DOI： 10.1051/epjconf/201817507013

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.96.014509

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptx073

記述言語：その他   掲載種別：研究論文（学術雑誌）  

© The Author(s) 2017. We study the one-loop effective action defined by the chiral overlap operator in the fourdimensional lattice formulation of chiral gauge theories by Grabowska and Kaplan. In the tree-level continuum limit, the left-handed component of the fermion is coupled only to the original gauge field A, while the right-handed one is coupled only to A∗, which is given by the gradient flow of A with infinite flow time. In this paper, we show that the continuum limit of the one-loop effective action contains local interaction terms between A and A∗, which do not generally vanish even if the gauge representation of the fermion is anomaly free.We argue that the presence of such interaction terms can be regarded as undesired gauge symmetry-breaking effects in the formulation.

DOI： 10.1093/ptep/ptx085

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2017.02.017

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.95.054502

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.94.114512

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1142/S021773231650214X

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptw167

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptw046

記述言語：その他  

Background field method in the gradient flow
The Yang--Mills gradient flow and its extension to the fermion field provide
a very general method to obtain renormalized observables in gauge theory. The
method is applicable also with non-perturbative regularization such as lattice.
The gradient flow thus offers useful probes to study non-perturbative dynamics
of gauge theory. In this work, aiming at possible simplification in
perturbative calculations associated with the gradient flow, a modification of
the gauge-fixed version of the flow equation, which preserves gauge covariance
under the background gauge transformation, is proposed. This formulation allows
for example a very quick one-loop calculation of the small flow time expansion
of a composite operator that is relevant to the construction of a lattice
energy--momentum tensor. Some details of the calculation, which have not been
given elsewhere, are presented.

記述言語：英語   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.92.085020

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.92.085020

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptv139

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.92.059902

記述言語：英語  

DOI： 10.1103/PhysRevD.92.059902

記述言語：その他   掲載種別：研究論文（学術雑誌）  

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.91.065010

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptv028

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.90.011501

記述言語：英語   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.90.011501

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptu070

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2013.09.005

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1093/ptep/ptt059

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2012.11.023

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physletb.2013.01.028

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2012.04.008

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2011.09.007

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physletb.2010.12.012

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physletb.2010.01.022

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physletb.2009.11.028

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2009.05.012

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.nuclphysb.2008.11.021

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physletb.2009.01.039

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1103/PhysRevD.77.091502

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.119.797

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2007/10/018

記述言語：英語   掲載種別：研究論文（学術雑誌）  

記述言語：その他  

Numerical results of two-dimensional N=(2,2) super Yang-Mills theory
We report the results of a numerical simulation of a lattice formulation of
the two-dimensional N=(2,2) super Yang-Mills theory proposed by Suzuki and
Taniguchi. We measure the 1-point functions and 2-point functions. The scenario
is that only tuning of the scalar mass to a specific value gives a
supersymmetric continuum limit. Our results are consistent with this scenario
although conclusive results on the restoration of supersymmetry have not been
obtained.

記述言語：その他   掲載種別：研究論文（学術雑誌）  

We carry out preliminary numerical study of Sugino's lattice formulation [1, 2] of the two-dimensional ≤ (2,2) super Yang-Mills theory (2d ≤ (2,2) SYM) with the gauge group SU(2). The effect of dynamical fermions is included by re-weighting a quenched ensemble by the pfaffian factor. It appears that the complex phase of the pfaffian due to lattice artifacts and flat directions of the classical potential are not problematic in Monte Carlo simulation. Various one-point supersymmetric Ward-Takahashi (WT) identities are examined for lattice spacings up to a ≤ 0.5/g with the fixed physical lattice size L ≤ 4.0/g, where g denotes the gauge coupling constant in two dimensions. WT identities implied by an exact fermionic symmetry of the formulation are confirmed in fair accuracy and, for most of these identities, the quantum effect of dynamical fermions is clearly observed. For WT identities expected only in the continuum limit, the results seem to be consistent with the behavior expected from supersymmetry, although we do not see clear distintion from the quenched simulation. We measure also the expectation values of renormalized gauge-invariant bi-linear operators of scalar fields. © SISSA 2007.

DOI： 10.1088/1126-6708/2007/09/052

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.116.1117

記述言語：その他  

Overlap Fermion in External Gravity
On a lattice, we construct an overlap Dirac operator which describes the
propagation of a Dirac fermion in external gravity. The local Lorentz symmetry
is manifestly realized as a lattice gauge symmetry, while the general
coordinate invariance is expected to be restored only in the continuum limit.
The lattice index density in the presence of a gravitational field is
calculated.

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/j.physe.2006.03.141

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.116.197

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.115.1129

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.115.467

記述言語：その他   掲載種別：研究論文（学術雑誌）  

The N ≤ (2,2) extended super Yang-Mills theory in 2 dimensions is formulated on the lattice as a dimensional reduction of a 4 dimensional lattice gauge theory. We use the plaquette action for a bosonic sector and the Wilson- or the overlap-Dirac operator for a fermion sector. The fermion determinant is real and, moreover, when the overlap-Dirac operator is used, semi-positive definite. The flat directions in the target theory become compact and present no subtlety for a numerical integration along these directions. Any exact supersymmetry does not exist in our lattice formulation; nevertheless we argue that one-loop calculable and finite mass counter terms ensure a supersymmetric continuum limit to all orders of perturbation theory. © SISSA 2005.

DOI： 10.1088/1126-6708/2005/10/082

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/JPSJ.74.1674

記述言語：その他   掲載種別：研究論文（学術雑誌）  

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2005/01/051

記述言語：その他  

A local formulation of lattice Wess-Zumino model with exact $U(1)_R$ symmetry
A lattice Wess-Zumino model is formulated on the basis of Ginsparg-Wilson
fermions. In perturbation theory, our formulation is equivalent to the
formulation by Fujikawa and Ishibashi and by Fujikawa. Our formulation is,
however, free from a singular nature of the latter formulation due to an
additional auxiliary chiral supermultiplet on a lattice. The model posssesses
an exact $U(1)_R$ symmetry as a supersymmetric counterpart of the L"uscher
lattice chiral $U(1)$ symmetry. A restration of the supersymmetric
Ward-Takahashi identity in the continuum limit is analyzed in renormalized
perturbation theory. In the one-loop level, a supersymmetric continuum limit is
ensured by suitably adjusting a coefficient of a single local term $ ilde
F^* ilde F$. The non-renormalization theorem holds to this order of
perturbation theory. In higher orders, on the other hand, coefficents of local
terms with dimension $leq4$ that are consistent with the $U(1)_R$ symmetry
have to be adjusted for a supersymmetric continuum limit. The origin of this
complexicity in higher-order loops is clarified on the basis of the Reisz power
counting theorem. Therefore, from a view point of supersymmetry, the present
formulation is not quite better than a lattice Wess-Zumino model formulated by
using Wilson fermions, although a number of coefficients which require
adjustment is much less due to the exact $U(1)_R$ symmetry. We also comment on
an exact non-linear fermionic symmetry which corresponds to the one studied by
Bonini and Feo; an existence of this exact symmetry itself does not imply a
restoration of supersymmetry in the continuum limit without any adjustment of
parameters.

DOI： 10.1088/1126-6708/2005/02/012

記述言語：その他  

Anomalous gauge theories revisited
A possible formulation of chiral gauge theories with an anomalous fermion
content is re-examined in light of the lattice framework based on the
Ginsparg-Wilson relation. It is shown that the fermion sector of a wide class
of anomalous non-abelian theories cannot consistently be formulated within this
lattice framework. In particular, in 4 dimension, {it all} anomalous
non-abelian theories are included in this class. Anomalous abelian chiral gauge
theories cannot be formulated with compact $U(1)$ link variables, while a
non-compact formulation is possible at least for the vacuum sector in the space
of lattice gauge fields. Our conclusion is not applied to effective low-energy
theories with an anomalous fermion content which are obtained from an
underlying anomaly-free theory by sending the mass of some of fermions to
infinity. For theories with an anomalous fermion content in which the anomaly
is cancelled by the Green-Schwarz mechanism, a possibility of a consistent
lattice formulation is not clear.

DOI： 10.1088/1126-6708/2005/01/051

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.112.855

記述言語：その他  

DOI： 10.1016/j.physrep.2004.05.002

記述言語：その他  

DOI： 10.1093/acprof:oso/9780198529132.001.0001

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2004/07/038

記述言語：その他  

Majorana and Majorana-Weyl fermions in lattice gauge theory
In various dimensional Euclidean lattice gauge theories, we examine a
compatibility of the Majorana decomposition and the charge conjugation property
of lattice Dirac operators. In $8n$ and $1+8n$ dimensions, we find a difficulty
to decompose a classical lattice action of the Dirac fermion into a system of
the Majorana fermion and thus to obtain a factorized form of the Dirac
determinant. Similarly, in $2+8n$ dimensions, there is a difficulty to
decompose a classical lattice action of the Weyl fermion into a system of the
Majorana--Weyl fermion and thus to obtain a factrized form of the Weyl
determinant. Prescriptions based on the overlap formalism do not remove these
difficulties. We argue that these difficulties are reflections of the global
gauge anomaly associated to the real Weyl fermion in $8n$ dimensions. For this
reason (besides other well-known reasons), a lattice formulation of the N=1
super Yang--Mills theory in these dimensions is expected to be extremely
difficult to find.

DOI： 10.1088/1126-6708/2004/07/038

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0920-5632(03)02623-9

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2003/09/015

記述言語：その他  

Wess-Zumino-Witten term on the lattice
We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by
using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological
properties of the WZW term known in the continuum are reproduced on the lattice
as a consequence of a non-trivial topological structure of the space of
admissible lattice gauge fields. In the course of this analysis, we observe
that the gauge anomaly generally implies that there is no basis of a Weyl
fermion which leads to a single-valued expectation value in the fermion sector.
The lattice Witten term, which carries information of a gauge path along which
the gauge anomaly is integrated, is separated from the WZW term and the
multivaluedness of the Witten term is shown to be related to the homotopy group
$pi_{2n+1}(G)$. We also discuss the global $SU(2)$ anomaly on the basis of
the WZW term.

DOI： 10.1088/1126-6708/2003/09/015

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2003/05/042

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0920-5632(03)80466-8

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0550-3213(02)00812-X

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2002/09/025

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2002/09/032

記述言語：その他  

Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
We evaluate for arbitrary even dimensions the classical continuum limit of
the lattice axial anomaly defined by the overlap-Dirac operator. Our
calculational scheme is simple and systematic. In particular, a powerful
topological argument is utilized to determine the value of a lattice integral
involved in the calculation. When the Dirac operator is free of species
doubling, the classical continuum limit of the axial anomaly in various
dimensions is combined into a form of the Chern character, as expected.

DOI： 10.1088/1126-6708/2002/09/025

記述言語：その他  

Chiral anomalies in the reduced model
On the basis of an observation due to Kiskis, Narayanan and Neuberger, we
show that there is a remnant of chiral anomalies in the reduced model when a
Dirac operator which obeys the Ginsparg-Wilson relation is employed for the
fermion sector. We consider fermions belonging to the fundamental
representation of the gauge group U(N) or SU(N). For vector-like theories, we
determine a general form of the axial anomaly or the topological charge within
a framework of a U(1) embedding. For chiral gauge theories with the gauge group
U(N), a remnant of gauge anomaly emerges as an obstruction to a smooth fermion
integration measure. The pure gauge action of gauge-field configurations which
cause these non-trivial phenomena always diverges in the 't Hooft $N oinfty$
limit when d>2.

DOI： 10.1088/1126-6708/2002/09/032

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0370-2693(02)01936-6

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1088/1126-6708/2002/04/046

記述言語：その他  

CP breaking in lattice chiral gauge theories
The CP symmetry is not manifestly implemented for the local and doubler-free
Ginsparg-Wilson operator in lattice chiral gauge theory. We precisely identify
where the effects of this CP breaking appear. We show that they appear in: (I)
Overall constant phase of the fermion generating functional. (II) Overall
constant coefficient of the fermion generating functional. (III) Fermion
propagator appearing in external fermion lines and the propagator connected to
Yukawa vertices. The first effect appears from the transformation of the path
integral measure and it is absorbed into a suitable definition of the constant
phase factor for each topological sector; in this sense there appears no ``CP
anomaly''. The second constant arises from the explicit breaking in the action
and it is absorbed by the suitable weights with which topological sectors are
summed. The last one in the propagator is inherent to this formulation and
cannot be avoided by a mere modification of the projection operator, for
example, in the framework of the Ginsparg-Wilson operator. This breaking
emerges as an (almost) contact term in the propagator when the Higgs field,
which is treated perturbatively, has no vacuum expectation value. In the
presence of the vacuum expectation value, however, a completely new situation
arises and the breaking becomes intrinsically non-local, though this breaking
may still be removed in a suitable continuum limit. This non-local CP breaking
is expected to persist for a non-perturbative treatment of the Higgs coupling.

DOI： 10.1088/1126-6708/2002/04/046

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0920-5632(01)01837-0

記述言語：その他  

On the lattice construction of electroweak gauge theory
Based on the Ginsparg-Wilson relation, a gauge invariant formulation of
electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the
hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge
fields, the theory consists of four left-handed SU(2) doublets and it is
possible, as in vector-like theories, to make the fermion measure defined
globally in all topological sectors of SU(2). We then try to incorporate U(1)
gauge field, following L"uscher's reconstruction theorem. The global
integrability condition is proved for ``gauge loops'' in the space of the U(1)
gauge fields with arbitrary SU(2) gauge field fixed in the background. For
``non-gauge loops'', however, the proof is given so far only for the classical
SU(2) instanton backgrounds.

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.105.789

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0550-3213(00)00676-3

記述言語：その他   掲載種別：研究論文（学術雑誌）  

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0550-3213(00)00408-9

記述言語：その他  

Real Representation in Chiral Gauge Theories on the Lattice
The Weyl fermion belonging to the real representation of the gauge group
provides a simple illustrative example for L"uscher's gauge-invariant lattice
formulation of chiral gauge theories. We can explicitly construct the fermion
integration measure globally over the gauge-field configuration space in the
arbitrary topological sector; there is no global obstruction corresponding to
the Witten anomaly. It is shown that this Weyl formulation is equivalent to a
lattice formulation based on the Majorana (left--right-symmetric) fermion, in
which the fermion partition function is given by the Pfaffian with a definite
sign, up to physically irrelevant contact terms. This observation suggests a
natural relative normalization of the fermion measure in different topological
sectors for the Weyl fermion belonging to the complex representation.

DOI： 10.1088/1126-6708/2000/10/039

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0370-2693(00)00920-5

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0550-3213(99)00706-3

記述言語：その他   掲載種別：研究論文（学術雑誌）  

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.102.141

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.101.1147

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.100.1033

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1142/S0217732398002710

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.100.627

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1143/PTP.98.463

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/S0370-2693(97)00368-7

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0370-2693(96)00648-X

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1006/aphy.1996.0066

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0375-9601(96)00243-5

記述言語：その他   掲載種別：研究論文（学術雑誌）  

Using a simple solvable model, i.e., Higgs--Yukawa system with an infinite<br />
number of flavors, we explicitly demonstrate how a dimensional continuation of<br />
the $eta$ function in two dimensional MS scheme {it fails/} to reproduce<br />
the correct behavior of the $eta$ function in four dimensions. The mapping<br />
between coupling constants in two dimensional MS scheme and a conventional<br />
scheme in the cutoff regularization, in which the dimensional continuation of<br />
the $eta$ function is smooth, becomes singular when the dimension of<br />
spacetime approaches to four. The existence of a non-trivial fixed point in<br />
$2+epsilon$ dimensions continued to four dimensions $epsilon o2$ in the two<br />
dimensional MS scheme is spurious and the asymptotic safety cannot be imposed<br />
to this model in four dimensions.

DOI： 10.1143/PTP.95.985

記述言語：その他   掲載種別：研究論文（学術雑誌）  

Super-Virasoro Anomaly, Super-Weyl Anomaly and the Super-Liouville Action for 2D Supergravity
The relation between super-Virasoro anomaly and super-Weyl anomaly in $N=1$<br />
NSR superstring coupled with 2D supergravity is investigated from canonical<br />
theoretical view point. The WZW action canceling the super-Virasoro anomaly is<br />
explicitly constructed. It is super-Weyl invariant but nonlocal functional of<br />
2D supergravity. The nonlocality can be remedied by the super-Liouvlle action,<br />
which in turn recovers the super-Weyl anomaly. The final gravitational<br />
effective action turns out to be local but noncovariant super-Liouville action,<br />
describing the dynamical behavior of the super-Liouville fields. The BRST<br />
invariance of this approach is examined in the superconformal gauge and in the<br />
light-cone gauge.

DOI： 10.1006/aphy.1996.5643

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1006/aphy.1995.1059

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1142/S0217751X9400011X

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0550-3213(93)90241-G

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0370-2693(92)91397-R

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0370-2693(92)90191-6

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0550-3213(91)90272-Y

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0550-3213(90)90106-N

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0370-2693(89)91712-7

記述言語：その他   掲載種別：研究論文（学術雑誌）  

DOI： 10.1016/0370-2693(88)91761-3

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

開催年月日： 2022年4月

記述言語：日本語  

開催地：オンライン   国名：日本国  

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2022年4月

記述言語：日本語  

開催地：オンライン   国名：日本国  

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2022年4月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

開催年月日： 2021年4月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2020年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2020年7月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：オンライン   国名：日本国  

開催年月日： 2018年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2018年7月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：品川グランドセントラルタワー   国名：日本国  

開催年月日： 2018年3月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年11月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年8月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年6月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2017年3月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2016年12月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2016年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2015年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2015年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2015年7月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2015年7月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2015年3月

記述言語：英語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2014年9月

記述言語：日本語   会議種別：口頭発表（招待・特別）  

開催地：佐賀大学   国名：日本国  

開催年月日： 2014年9月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：慶應義塾大学   国名：日本国  

開催年月日： 2014年1月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

開催年月日： 2013年9月

記述言語：日本語   会議種別：口頭発表（一般）  

開催地：高エネルギー加速器研究機構   国名：日本国  

開催年月日： 2013年9月

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

記述言語：日本語   会議種別：口頭発表（一般）  

国名：日本国  

記述言語：日本語  

国名：日本国  

ここ10年ほどの間に,格子ゲージ理論におけるカイラル対称性とカイラルフェルミオンに対する我々の認識は一変した.ベクトル型の格子ゲージ理論で厳密なカイラル対称性を保つ定式化が発見され,量子色力学(QCD)の数値シミュレーションへの応用が本格化している.また,従来,カイラルなゲージ理論は非摂動論的に定義できないのでは,と思われていたふしがあるが,現在では,構成論的定式化があってもおかしくない,というのが大方の見方であると思われる.ここでは,格子ゲージ理論におけるカイラル対称性の実現と題して,最近までの理論的進展について解説する.

記述言語：日本語  

国名：日本国  

記述言語：日本語   掲載種別：記事・総説・解説・論説等（学術雑誌）  

記述言語：日本語  

記述言語：日本語   掲載種別：記事・総説・解説・論説等（学術雑誌）  

記述言語：日本語  

記述言語：日本語  

DOI： 10.11316/butsuri.73.3_148

記述言語：日本語  

記述言語：日本語  

記述言語：日本語  

記述言語：その他  

A dilaton-pion mass relation
Recently, Golterman and Shamir presented an effective field theory which is
supposed to describe the low-energy physics of the pion and the dilaton in an
&#36;SU(N_c)&#36; gauge theory with &#36;N_f&#36; Dirac fermions in the fundamental
representation. By employing this formulation with a slight but important
modification, we derive a relation between the dilaton mass squared~&#36;m_ au^2&#36;,
with and without the fermion mass~&#36;m&#36;, and the pion mass squared~&#36;m_pi^2&#36; to
the leading order of the chiral logarithm. This is analogous to a similar
relation obtained by Matsuzaki and~Yamawaki on the basis of a somewhat
different low-energy effective field theory. Our relation reads
&#36;m_ au^2=m_ au^2|_{m=0}+KN_fhat{f}_pi^2m_pi^2/(2hat{f}_ au^2)+O(m_pi^4ln
m_pi^2)&#36; with~&#36;K=9&#36;, where &#36;hat{f}_pi&#36; and~&#36;hat{f}_ au&#36; are decay
constants of the pion and the dilaton, respectively. This mass relation differs
from the one derived by Matsuzaki and~Yamawaki on the points that
&#36;K=(3-gamma_m)(1+gamma_m)&#36;, where &#36;gamma_m&#36; is the mass anomalous dimension,
and the leading chiral logarithm correction is~&#36;O(m_pi^2ln m_pi^2)&#36;.
For~&#36;gamma_msim1&#36;, the value of the decay constant~&#36;hat{f}_ au&#36; estimated
from our mass relation becomes &#36;sim50&#37;&#36; larger than &#36;hat{f}_ au&#36; estimated
from the relation of Matsuzaki and~Yamawaki.

記述言語：日本語  

DOI： 10.11316/butsuri.71.6_399

記述言語：日本語  

記述言語：日本語  

記述言語：その他  

Perturbative spectrum of a Yukawa-Higgs model with Ginsparg-Wilson fermions
A Yukawa-Higgs model with Ginsparg-Wilson (GW) fermions, proposed recently by
Bhattacharya, Martin and Poppitz as a possible lattice formulation of chiral
gauge theories, is studied. A simple argument shows that the gauge boson always
acquires mass by the St"uckelberg (or, in a broad sense, Higgs) mechanism,
regardless of strength of interactions. The gauge symmetry is spontaneously
broken. When the gauge coupling constant is small, the physical spectrum of the
model consists of massless fermions, massive fermions and emph{massive} vector
bosons.

記述言語：日本語  

記述言語：英語  

記述言語：日本語  

種別：大会・シンポジウム等 

種別：査読等 

外国語雑誌　査読論文数：7

種別：大会・シンポジウム等 

種別：審査・学術的助言 

種別：大会・シンポジウム等 

種別：査読等 

外国語雑誌　査読論文数：4

種別：学会・研究会等 

種別：大会・シンポジウム等 

種別：査読等 

外国語雑誌　査読論文数：5

種別：大会・シンポジウム等 

種別：審査・学術的助言 

種別：査読等 

外国語雑誌　査読論文数：4

種別：審査・学術的助言 

種別：大会・シンポジウム等 

種別：大会・シンポジウム等 

種別：査読等 

外国語雑誌　査読論文数：7

種別：査読等 

外国語雑誌　査読論文数：2

種別：大会・シンポジウム等 

種別：査読等 

外国語雑誌　査読論文数：3