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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  • Kodama Hiroaki
    Institute for Theoretical Physics, Kanazawa University, Kanazawa 920–1192, Japan
  • Sumi Jun–Ichi
    Department of Fundamental Sciences, Faculty of Integrated Human Studies, Kyoto University, Kyoto 606–8501, Japan

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

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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 Nc 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 Nc. The chiral phase structure on the (T,μ) plane beyond the leading order of the 1 / Nc expansion is investigated in the sharp cutoff limit. The Nc dependence of the chiral phase diagram is obtained.

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