Note on triangle anomaly with improved momentum cutoff

TL;DR

This paper introduces an improved momentum cutoff regularization method that preserves Lorentz and gauge symmetries, enabling unambiguous calculation of the triangle anomaly in four-dimensional quantum field theory.

Contribution

It presents a novel regularization technique based on Euclidean momentum cutoff that maintains symmetries and clarifies the calculation of the triangle anomaly.

Findings

Triangle anomaly calculated unambiguously with the new cutoff

The method preserves Lorentz and gauge symmetries

Cancellation of non-vanishing terms involving  and gamma matrices

Abstract

A Lorentz and gauge symmetry preserving regularization method has been proposed recently in 4 dimension based on Euclidean momentum cutoff. It is shown that the triangle anomaly can be calculated unambiguously with this new improved cutoff. The anticommutator of \gamma^{5} and \gamma^{\mu} multiplied by five gamma is proportional to terms that do not vanish under a divergent loop-momentum integral, but cancel otherwise.