One-Loop Determinant of Dirac Operator in Non-Renormalizable Models

Details One-Loop Determinant of Dirac Operator in Non-Renormalizable Models One-Loop Determinant of Dirac Operator in Non-Renormalizable Models

1999-12-17

arxiv.org/abs/hep-ph/9912404v1

Phys.Lett. B475 (2000) 324-328

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTex

Scientific paper

10.1016/S0370-2693(00)00106-4

We use proper-time regularizations to define the one-loop fermion determinant in the form suggested by Gasser and Leutwyler some years ago. We show how to obtain the polynomial by which this definition of ln det D needs to be modified in order to arrive at the fermion determinant whose modulus is invarinat under chiral transformations. As an example it is shown how the fundamental symmetries associated with the NJL model are preserved in a consistent way.

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