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

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

1999-08-24

arxiv.org/abs/hep-th/9908158v2

Phys.Rev. D62 (2000) 025001

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.62.025001

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.

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