Comments on regularization ambiguities and local gauge symmetries

TL;DR

This paper investigates how regularization ambiguities in a (1+1)-dimensional quantum field theory relate to coupling parameters and influence the preservation of local gauge symmetry during quantization.

Contribution

It establishes a connection between regularization ambiguities and gauge symmetry implementation, providing insights into their interplay at the quantum level.

Findings

Regularization ambiguities are linked to coupling parameters.

Gauge symmetry can be maintained despite regularization ambiguities.

The study clarifies the role of ambiguities in quantum gauge theories.

Abstract

We study the regularization ambiguities in an exact renormalized (1+1)-dimensional field theory. We show a relation between the regularization ambiguities and the coupling parameters of the theory as well as their role in the implementation of a local gauge symmetry at quantum level.