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Seiberg-Witten-type Maps for Currents and Energy-Momentum Tensors in
Noncommutative Gauge Theories
release_cf235uix5bgkvmxmdp5fmnlu3i
by
Rabin Banerjee,
Choonkyu Lee,
Hyun Seok Yang
Released
as a report
.
2003
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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