The effect of different regulators in the non-local field-antifield quantization

TL;DR

This paper analyzes how different regularization schemes affect the calculation of anomalies within the non-local BV quantization framework, focusing on the chiral Schwinger model to compare regulator-induced differences.

Contribution

It provides a detailed comparison of two regulators in the non-local BV formalism and their impact on anomaly calculations in gauge theories.

Findings

Different regulators produce distinct anomaly expressions.

Regulator choice influences anomaly reparametrization equivalence.

Analysis clarifies regulator effects in non-local BV quantization.

Abstract

Recently it was shown how to regularize the Batalin-Vilkovisky (BV) field-antifield formalism of quantization of gauge theories with the non-local regularization (NLR) method. The objective of this work is to make an analysis of the behaviour of this NLR formalism, connected to the BV framework, using two different regulators: a simple second order differential regulator and a Fujikawa-like regulator. This analysis has been made in the light of the well known fact that different regulators can generate different expressions for anomalies that are related by a local couterterm, or that are equivalent after a reparametrization. This has been done by computing precisely the anomaly of the chiral Schwinger model.