Nonperturbative Renormalization Group and Renormalizability of Gauged NJL Model

Details Nonperturbative Renormalization Group and Renormalizability of Gauged NJL Model Nonperturbative Renormalization Group and Renormalizability of Gauged NJL Model

1999-08-09

arxiv.org/abs/hep-th/9908062v1

Prog.Theor.Phys. 102 (1999) 1163-1179

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 5 epsf figures

Scientific paper

10.1143/PTP.102.1163

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

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