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Prog. Theor. Phys. Vol. 103 No. 2 (2000) pp. 393-410

[ Full Text PDF : FREE ACCESS (263K) ]

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

Hiroaki Kodama*) and Jun-Ichi Sumi *,**)

Institute for Theoretical Physics, Kanazawa University, Kanazawa 920-1192, Japan
*Department of Fundamental Sciences, Faculty of Integrated Human Studies
Kyoto University, Kyoto 606-8501, Japan

(Received October 17, 1999)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/103/393/
DOI : 10.1143/PTP.103.393


*) E-mail: h-kodama@hep.s.kanazawa-u.ac.jp
**) E-mail: sumi@phys.h.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (263K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 103 No. 4 (2000) pp. 815-832 :
    Non-Ladder Extended Renormalization Group Analysis of the Dynamical Chiral Symmetry Breaking
    Ken-Ichi Aoki, Kaoru Takagi, Haruhiko Terao and Masashi Tomoyose
  2. Progress of Theoretical Physics Vol. 121 No. 4 (2009) pp. 875-884 :
    Evaluation of the Spontaneous Chiral Symmetry Breaking Scale in General Gauge Theories with Non-Perturbative Renormalization Group
    Ken-Ichi Aoki and Kazuhiro Miyashita

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