Remark on Pauli-Villars Lagrangian on the Lattice
High Energy Physics - Theory
2009-10-30 v2
Abstract
It is interesting to superimpose the Pauli-Villars regularization on the lattice regularization. We illustrate how this scheme works by evaluating the axial anomaly in a simple lattice fermion model, the Pauli-Villars Lagrangian with a gauge non-invariant Wilson term. The gauge non-invariance of the axial anomaly, caused by the Wilson term, is remedied by a compensation among Pauli-Villars regulators in the continuum limit. A subtlety in Frolov-Slavnov's scheme for an odd number of chiral fermions in an anomaly free complex gauge representation, which requires an infinite number of regulators, is briefly mentioned.
Keywords
Cite
@article{arxiv.hep-th/9608025,
title = {Remark on Pauli-Villars Lagrangian on the Lattice},
author = {Kazunobu Haga and Hiroshi Igarashi and Kiyoshi Okuyama and Hiroshi Suzuki},
journal= {arXiv preprint arXiv:hep-th/9608025},
year = {2009}
}
Comments
14 pages, Phyzzx. The final version to appear in Phys. Rev. D