Application of Non-Perturbative Renormalization Group to Nambu-Jona-Lasinio/Gross-Neveu model at Finite Temperature and Chemical Potential
Hiroaki Kodama, Jun-Ichi Sumi
Abstract
The chiral phase structure of the Nambu-Jona-Lasinio/Gross-Neveu model at finite temperature T and finite chemical potential μis investigated using (Wilsonian) Non-Perturbative Renormalization Group (NPRG). In the large Nc limit, the solutions of NPRG with various cutoff schemes are shown. For a sufficiently large ultra-violet cutoff, NPRG results coincide with those of 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 (T,μ) plane beyond the leading of 1/Nc expansion is investigated in the sharp cutoff limit. Nc dependence of chiral phase diagram is obtained.
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