Remark on Pauli-Villars Lagrangian on the lattice

Kazunobu Haga, Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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-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.

Original languageEnglish
Pages (from-to)5325-5330
Number of pages6
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume55
Issue number9
DOIs
Publication statusPublished - 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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