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arXiv · hep-th/0110177

Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory

Rabin Banerjee·Subir Ghosh
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Abstract

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 {\it 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 space-time. Furthermore, using this map, we derive an expression for the unintegrated axial anomaly for constant fields in NC space-time, that is valid to all finite orders of the NC parameter.

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Rabin Banerjee, Subir Ghosh. 2002-05-01. Seiberg Witten Map and the Axial Anomaly in Noncommutative Field Theory. https://doi.org/10.1016/s0370-2693(02)01566-6

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