Remark on Pauli-Villars Lagrangian on the lattice

Kazunobu Haga, Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki

Research output: Contribution to journalArticle

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 - Jan 1 1997
Externally publishedYes

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regulators
anomalies
fermions
continuums

All Science Journal Classification (ASJC) codes

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

Cite this

Remark on Pauli-Villars Lagrangian on the lattice. / Haga, Kazunobu; Igarashi, Hiroshi; Okuyama, Kiyoshi; Suzuki, Hiroshi.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 55, No. 9, 01.01.1997, p. 5325-5330.

Research output: Contribution to journalArticle

Haga, Kazunobu ; Igarashi, Hiroshi ; Okuyama, Kiyoshi ; Suzuki, Hiroshi. / Remark on Pauli-Villars Lagrangian on the lattice. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1997 ; Vol. 55, No. 9. pp. 5325-5330.
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