Regularization in the Gauged Nambu--Jona-Lasinio Model

Details Regularization in the Gauged Nambu--Jona-Lasinio Model Regularization in the Gauged Nambu--Jona-Lasinio Model

1994-08-03

arxiv.org/abs/hep-ph/9408225v1

Phys.Rev. D50 (1994) 5985-5992

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX with 3 uuencoded tar-compressed figures submitted separately, requires epsf.tex, EFI-93-67. Complete postscrip

Scientific paper

10.1103/PhysRevD.50.5985

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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