1996/08/31 by Kazunobu Haga, Hiroshi Igarashi, Kiyoshi Okuyama +1
Mathematics · Physics and Astronomy · #Mathematical functions and polynomials #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #hep-th
paper · pdf · doi:10.1103/physrevd.55.5325
published as Phys.Rev. D55 (1997) 5325-5330 · 14 pages, Phyzzx. The final version to appear in Phys. Rev. D
arxiv created 1997/02/06 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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-noninvariant Wilson term. The gauge noninvariance 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 the Frolov-Slavnov 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.