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ON THE ANOMALIES AND SCHWINGER TERMS IN NONCOMMUTATIVE GAUGE THEORIES

F. ARDALAN

Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran

Institute for Studies in Theoretical Physics and Mathematics (IPM), School of Physics, PO Box 19395-5531, Tehran, Iran

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H. ARFAEI

Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran

Institute for Studies in Theoretical Physics and Mathematics (IPM), School of Physics, PO Box 19395-5531, Tehran, Iran

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, and

N. SADOOGHI

Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran

Institute for Studies in Theoretical Physics and Mathematics (IPM), School of Physics, PO Box 19395-5531, Tehran, Iran

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https://doi.org/10.1142/S0217751X06031363Cited by:6 (Source: Crossref)

Abstract

Invariant (nonplanar) anomaly of noncommutative QED is reexamined in this paper. 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 the existence of invariant anomaly. Thus resolving the controversy in the value of invariant anomaly, an expression for the unintegrated anomaly is found. Schwinger terms of the current algebra of the theory are derived.

Keywords:

PACS: 11.15.-q, 11.30.-j, 11.30.Rd, 11.40.-q, 11.40.Ex, 11.40.Ha

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