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 language | English (US) |
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Pages (from-to) | 5985-5992 |
Number of pages | 8 |
Journal | Physical Review D |
Volume | 50 |
Issue number | 9 |
DOIs | |
State | Published - 1994 |