Remark on Pauli-Villars Lagrangian on the lattice
- Department of Physics, Ibaraki University, Mito 310 (Japan)
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 {ital odd} number of chiral fermions in an anomaly-free complex gauge representation, which requires an infinite number of regulators, is briefly mentioned. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 491681
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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