Gauge Invariant Pauli-Villars Regularization of Chiral Fermions

Details Gauge Invariant Pauli-Villars Regularization of Chiral Fermions Gauge Invariant Pauli-Villars Regularization of Chiral Fermions

1996-03-11

arxiv.org/abs/hep-th/9603062v6

Prog.Theor.Phys. 98 (1997) 463-484

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, PHYZZX. The final version to appear in Prog. Theor. Phys

Scientific paper

10.1143/PTP.98.463

We extend the idea of the generalized Pauli-Villars regularization of Frolov and Slavnov and analyze the general structure of the regularization scheme. The gauge anomaly-free condition emerges in a simple way in the scheme, and, under the standard prescription for the momentum assignment, the Pauli-Villars Lagrangian provides a gauge invariant regularization of chiral fermions in arbitrary anomaly-free representations. The vacuum polarization tensor is transverse, and the fermion number and the conformal anomalies have gauge invariant forms. We also point out that the real representation can be treated in a straightforward manner and the covariant regularization scheme is directly implemented.

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