On gauge invariant regularization of fermion currents

TL;DR

This paper compares two gauge-invariant regularization methods for fermion currents, highlighting their differences and showing that they can produce different results despite both being gauge invariant.

Contribution

It provides a comparison of Schwinger and complex powers regularization methods, revealing their discrepancies in fermion current regularization.

Findings

Both methods are gauge invariant.

They do not always produce the same results.

Differences depend on the regularization approach used.

Abstract

We compare Schwinger and complex powers methods to construct regularized fermion currents. We show that although both of them are gauge invariant they not always yield the same result.