Abstract

Recently it was shown how to regularize the Batalin–Vilkovisky (BV) field–antifield formalism of quantization of gauge theories with the nonlocal regularization (NLR) method. The objective of this work is to make an analysis of the behavior 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 counterterm, or that are equivalent after a reparametrization. This has been done by computing precisely the anomaly of the chiral Schwinger model.

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