Anomaly through Gauge Invariant Regularization with Infinite Number of Pauli-Villars Fields

TL;DR

This paper demonstrates that gauge invariant regularization with an infinite number of Pauli-Villars fields can correctly reproduce Abelian anomalies in chiral gauge theories without the need for counterterms.

Contribution

It introduces a gauge invariant regularization method using infinite Pauli-Villars fields applicable to anomaly calculations in arbitrary gauge groups.

Findings

Anomaly with correct normalization obtained without counterterms

Gauge invariance preserved in regularization process

Applicable to SO(10) and general anomaly-free chiral gauge theories

Abstract

Abelian anomaly is examined by means of the recently proposed gauge invariant regularization for SO(10) chiral gauge theory and its generalization for a theory of arbitrary gauge group with anomaly-free chiral fermion contents. For both cases it is shown that the anomaly with correct normalization can be obtained in a gauge invariant form without any counterterms.