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Regularization in the Gauged Nambu--Jona-Lasinio Model

Tony Gherghetta
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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.

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Tony Gherghetta. 1994-08-03. Regularization in the Gauged Nambu--Jona-Lasinio Model. https://doi.org/10.1103/physrevd.50.5985

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