Remark on Pauli-Villars Lagrangian on the Lattice

Details Remark on Pauli-Villars Lagrangian on the Lattice Remark on Pauli-Villars Lagrangian on the Lattice

1996-08-06

arxiv.org/abs/hep-th/9608025v2

Phys.Rev. D55 (1997) 5325-5330

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Phyzzx. The final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.55.5325

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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