On the Anomalies and Schwinger Terms in Noncommutative Gauge Theories

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX, axodraw.sty, 1 figure; v2: Typos corrected, References added, Version to appear in Int. J. Mod. Phys. A (2006)

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Scientific paper

Digital Object Identifier

10.1142/S0217751X06031363

Abstract

Invariant (nonplanar) anomaly of noncommutative QED is reexamined. It is found that just as in ordinary gauge theory UV regularization is needed to discover anomalies, in noncommutative case, in addition, an IR regularization is also required to exhibit existence of invariant anomaly. Thus resolving the controversy in the value of invariant anomaly, an expression for the unintergrated anomaly is found. Schwinger terms of the current algebra of the theory are derived.

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