Nontriviality of Abelian gauged Nambu-Jona-Lasinio models in four dimensions

Abstract

We study a particular class of Abelian gauged Nambu-Jona-Lasinio models with global U_L(N)xU_R(N) symmetry, where N is the number of fermion flavors. We show, by treating the gauge interaction in the ladder approximation and four-fermion interactions in the leading order of the 1/N expansion, that the renormalization-group beta function of the U(1) gauge coupling has ultraviolet stable fixed points for sufficiently large N. This implies the existence of a nontrivial continuum limit.

44 pages, 10 figures, REVTeX, revised and corrected version

References in corpus (3)

• Is there a Landau Pole Problem in QED?
• Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behaviors in QED
• Analytic structure of scalar composites in the symmetric phase of the gauged Nambu-Jona-Lasinio model

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