Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-22
Prog.Theor.Phys. 103 (2000) 393
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 10 epsf figures, to be published in Progress of Theoretical Physics
Scientific paper
10.1143/PTP.103.393
The chiral phase structure of the Nambu-Jona-Lasinio/Gross-Neveu model at finite temperature T and finite chemical potential \mu is investigated using (Wilsonian) Non-Perturbative Renormalization Group (NPRG). In the large N_c 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 N_c. The chiral phase structure on (T,\mu) plane beyond the leading of 1/N_c expansion is investigated in the sharp cutoff limit. N_c dependence of chiral phase diagram is obtained.
Kodama Hiroaki
Sumi Jun-Ichi
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