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H MURAYAMA, H SUZUKI, T YANAGIDA, J YOKOYAMA, *CHAOTIC INFLATION AND BARYOGENESIS IN SUPERGRAVITY*, PHYSICAL REVIEW D, Vol.50, No.4, pp.R2356-R2360, 1994.08, We propose a Kahler potential in supergravity which successfully accommodates chaotic inflation. This model can have a large gravitino mass without giving a large mass to squarks and sleptons, and thus is free from both the gravitino problem and entropy crisis. In this model baryogenesis takes places naturally, identifying the inflaton with a right-handed sneutrino with its mass M congruent-to 10(13) GeV, which is consistent with the COBE data and the Mikheyev-Smirnov-Wolfenstein solution to the solar neutrino problem. The model can also accommodate the matter content appropriate for the mixed dark matter scenario.. |

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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.. |

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格子ゲージ理論におけるグラディエントフローの応用. |

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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 $SU(N_c)$ gauge theory with $N_f$ 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~$m_ au^2$, with and without the fermion mass~$m$, and the pion mass squared~$m_pi^2$ 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 $m_ au^2=m_ au^2|_{m=0}+KN_fhat{f}_pi^2m_pi^2/(2hat{f}_ au^2)+O(m_pi^4ln m_pi^2)$ with~$K=9$, where $hat{f}_pi$ and~$hat{f}_ au$ 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 $K=(3-gamma_m)(1+gamma_m)$, where $gamma_m$ is the mass anomalous dimension, and the leading chiral logarithm correction is~$O(m_pi^2ln m_pi^2)$. For~$gamma_msim1$, the value of the decay constant~$hat{f}_ au$ estimated from our mass relation becomes $sim50%$ larger than $hat{f}_ au$ estimated from the relation of Matsuzaki and~Yamawaki.. |

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Gradient flowを用いてみる一次相転移点近傍の熱力学量の性質. |

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Construction of The Energy‐Momentum Tensor in Lattice Gauge Theory: Gradient Flow Method. |

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Gradient flowによる(2+1)‐flavor QCD状態方程式―物理点での試験研究―. |

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グラディエントフロー―エネルギー運動量テンソルへの応用を中心として―. |