Application of the Non-Perturbative Renormalization Group to the Nambu-Jona-Lasinio/Gross-Neveu Model at Finite Temperature and Chemical Potential

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概要

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• The chiral phase structure of the Nambu-Jona-Lasinio/Gross-Neveu model at finite temperature T and finite chemical potential μ is investigated using the (Wilsonian) non-perturbative renormalization group (NPRG). In the large N_c limit, the solutions of NPRG with various cutoff schemes are given. For a sufficiently large ultraviolet cutoff, the NPRG results coincide with those of the Schwinger-Dyson equation and have little cutoff scheme dependence. Next, to improve the approximation, we incorporate the mesonic fluctuations. We introduce the auxiliary fields for mesons and then derive NPRG equation for finite N_c. The chiral phase structure on the (T, μ) plane beyond the leading order of the 1/N_c expansion is investigated in the sharp cutoff limit. The N_c dependence of the chiral phase diagram is obtained.

• 理論物理学刊行会の論文
• 2000-02-25

著者

• SUMI Jun-Ichi

  Department of Physics, Kanazawa University

• Sumi J

  Department Of Fundamental Sciences Faculty Of Integratede Human Studies Kyoto University

• Sumi Jun-ichi

  Department Of Physics Kanazawa University

• Kodama H

  Kyoto Univ. Kyoto Jpn

• KODAMA Hiroaki

  Institute for Theoretical Physics, Kanazawa University

• Kodama Hiroaki

  Institute For Theoretical Physics Kanazawa University

• SUMI Jun-Ichi

  Department of Fundamental Sciences, Faculty of Integratede Human Studies Kyoto University

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• Application of the Non-Perturbative Renormalization Group to the Nambu-Jona-Lasinio/Gross-Neveu Model at Finite Temperature and Chemical Potential
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