Comment on Pauli--Villars Lagrangian on the Lattice

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  • 6 August 1996
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 between Pauli--Villars regulators in the continuum limit. A subtlety in Frolov--Slavnov's scheme for an {\it 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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