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Prog. Theor. Phys. Vol. 102 No. 6 (1999) pp. 1163-1179

[ Full Text PDF : FREE ACCESS (379K) ]

Non-Perturbative Renormalization Group and Renormalizability of Gauged NJL Model

Ken-Ichi Kubota and Haruhiko Terao

Institute for Theoretical Physics, Kanazawa University
Kanazawa 920-1192, Japan

(Received August 10, 1999)

Abstract:

Non-perturbative renormalizability, or non-triviality, of the gauged Nambu-Jona-Lasinio (NJL) model in four dimensions is examined by using the non-perturbative (exact) renormalization group in the large Nc limit. When the running of the gauge coupling is asymptotically free and sufficiently slow, the two-dimensional renormalized trajectory (subspace) spanned by the four-fermi coupling and the gauge coupling is found to exist. This implies renormalizability of the gauged NJL model. In the case of a fixed gauge coupling, renormalizability of the model turns out to be guaranteed by the line of UV fixed points. We also discuss non-triviality of the gauged NJL model extended to include higher-dimensional operators and correspondence with the gauge-Higgs-Yukawa system.


URL : http://ptp.ipap.jp/link?PTP/102/1163/
DOI : 10.1143/PTP.102.1163

[ Full Text PDF : FREE ACCESS (379K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 102 No. 6 (1999) pp. 1151-1162 :
    Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry
    Ken-Ichi Aoki, Keiichi Morikawa, Jun-Ichi Sumi, Haruhiko Terao and Masashi Tomoyose
  2. 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

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