Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in Noncommutative Gauge Theories

2003/12/10 by Rabin Banerjee, Choonkyu Lee, Hyun Seok Yang
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1103/physrevd.70.065015

published as Phys.Rev. D70 (2004) 065015 · 14 pages, JHEP style

arxiv created 2003/12/10 · arxiv updated 2009/12/01

Abstract

We derive maps relating the currents and energy-momentum tensors in noncommutative (NC) gauge theories with their commutative equivalents. Some uses of these maps are discussed. Especially, in NC electrodynamics, we obtain a generalization of the Lorentz force law. Also, the same map for anomalous currents relates the Adler-Bell-Jackiw type NC covariant anomaly with the standard commutative-theory anomaly. For the particular case of two dimensions, we discuss the implications of these maps for the Sugawara-type energy-momentum tensor.

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