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

H. Kodama | Zendy; J.-I. Sumi | Zendy

Open Access

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

Author(s) -

H. Kodama,

J.-I. Sumi

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.103.393

Subject(s) - physics , cutoff , gross–neveu model , renormalization group , limit (mathematics) , mathematical physics , quantum electrodynamics , renormalization , phase diagram , functional renormalization group , phase (matter) , quantum mechanics , fermion , mathematical analysis , mathematics

The chiral phase structure of the Nambu-Jona-Lasinio/Gross-Neveu model atfinite temperature T and finite chemical potential \mu is investigated using(Wilsonian) Non-Perturbative Renormalization Group (NPRG). In the large N_climit, the solutions of NPRG with various cutoff schemes are shown. For asufficiently large ultra-violet cutoff, NPRG results coincide with those ofSchwinger-Dyson equation and have little cutoff scheme dependence. Next, toimprove the approximation, we incorporate the mesonic fluctuations. Weintroduce the auxiliary fields for mesons, and then derive NPRG equation forfinite N_c. The chiral phase structure on (T,\mu) plane beyond the leading of1/N_c expansion is investigated in the sharp cutoff limit. N_c dependence ofchiral phase diagram is obtained.Comment: 21 pages, 10 epsf figures, to be published in Progress of Theoretical Physic

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