期刊
PHYSICS LETTERS B
卷 533, 期 1-2, 页码 162-167出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0370-2693(02)01566-6
关键词
axial anomaly; non-commutative field theory; Seiberg-Witten map
Using the point-splitting regularisation, we calculate the axial anomaly in an arbitrary even dimensional non-commutative (NC) field theory. Our result is (star) gauge invariant in its unintegrated form, to the leading order in the NC parameter. Exploiting the Seiberg-Witten map, this result gets transformed to the familiar Adler-Bell-Jackiw anomaly in ordinary spacetime. Furthermore, using this map, we derive an expression for the unintegrated axil anomaly for constant fields in NC spacetime, that is valid to all finite orders of the NC parameter. (C) 2002 Elsevier Science B.V. All rights reserved.
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