Lattice fermions with gauge noninvariant measure

Details Lattice fermions with gauge noninvariant measure Lattice fermions with gauge noninvariant measure

1995-06-07

arxiv.org/abs/hep-lat/9506015v2

Phys.Lett. B366 (1996) 261-267

Physics

High Energy Physics

High Energy Physics - Lattice

footnotes 2, 7 are extended, two references are added

Scientific paper

10.1016/0370-2693(95)01331-8

We define Weyl fermions on a finite lattice in such a way that in the path integral the action is gauge invariant but the functional measure is not. Two variants of such a formulation are tested in perturbative calculation of the fermion determinant in chiral Schwinger model. We find that one of these variants ensures restoring the gauge invariance of the nonanomalous part of the determinant in the continuum limit. A `perfect' perturbative regularization of the chiral fermions is briefly discussed.

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