The effect of different regulators in the nonlocal field-antifield quantization

Authors
Citation
Emc. Abreu, The effect of different regulators in the nonlocal field-antifield quantization, INT J MOD P, 15(8), 2000, pp. 1207-1224
Citations number
43
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
8
Year of publication
2000
Pages
1207 - 1224
Database
ISI
SICI code
0217-751X(20000330)15:8<1207:TEODRI>2.0.ZU;2-E
Abstract
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.