Regularization in the gauged Nambu-Jona-Lasinio model

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Abstract

Various prescriptions employed for regulating gauged Nambu-Jona-Lasinio- type models such as the top-quark condensate model are discussed. The use of dimensional regularization maintains gauge invariance but destroys the quadratic divergence in the gap equation. If instead a simple ultraviolet momentum cutoff is used to regulate loop integrals, then gauge invariance is destroyed by a quadratically divergent term as well as by ambiguities associated with arbitrary routing of loop momenta. Finally it is shown that one can use dispersion relations to regulate the top-quark condensate model. This prescription maintains gauge invariance and does not depend on arbitrary shifts in loop momenta.

Original languageEnglish (US)
Pages (from-to)5985-5992
Number of pages8
JournalPhysical Review D
Volume50
Issue number9
DOIs
StatePublished - Jan 1 1994

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