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arXiv · hep-th/9608025

Remark on Pauli-Villars Lagrangian on the Lattice

Kazunobu Haga·Hiroshi Igarashi·Kiyoshi Okuyama·Hiroshi Suzuki
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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.

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Kazunobu Haga, Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki. 1997-02-06. Remark on Pauli-Villars Lagrangian on the Lattice. https://doi.org/10.1103/physrevd.55.5325

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