Lattice fermions with gauge noninvariant measure
High Energy Physics - Lattice
2014-11-17 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9506015,
title = {Lattice fermions with gauge noninvariant measure},
author = {Sergei V. Zenkin},
journal= {arXiv preprint arXiv:hep-lat/9506015},
year = {2014}
}
Comments
footnotes 2, 7 are extended, two references are added