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

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

2000-01-11

arxiv.org/abs/hep-th/0001064v1

Int.J.Mod.Phys. A15 (2000) 1207-1224

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Revtex. To appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X00000549

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.

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