Recently it was shown how to regularize the Batalin-Vilkovisky (BV) field-a
ntifield formalism of quantization of gauge theories with the nonlocal regu
larization (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 expressio
ns for anomalies that are related by a local counterterm, or that are equiv
alent after a reparametrization. This has been done by computing precisely
the anomaly of the chiral Schwinger model.