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

Manuel Reenders
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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.

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BibTeXRIS

Manuel Reenders. 2000-04-17. Nontriviality of Abelian gauged Nambu-Jona-Lasinio models in four dimensions. https://doi.org/10.1103/physrevd.62.025001

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