Invariant regularization of one-loop determinant in non-renormalizable models

Osipov, A. A.; Hiller, B.; Blin, A. H.
March 2000
AIP Conference Proceedings;2000, Vol. 508 Issue 1, p283
Academic Journal
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 invariant under chiral transformations. As an example it is shown how the fundamental symmetries associated with the NJL model are preserved in a consistent way. © 2000 American Institute of Physics.


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