

Preprint 70/2003
Anomaly freedom in Seiberg-Witten noncommutative gauge theories
Friedemann Brandt, Carmelo P. Martin, and Fernando Ruiz Ruiz
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Submission date: 29. Jul. 2003
Pages: 29
published in: Journal of high energy physics, 2003 (2003) 7, art-no. 68
DOI number (of the published article): 10.1088/1126-6708/2003/07/068
Bibtex
Keywords and phrases: anomaly freedom, seiberg-witten map, noncommutative gauge theories
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Abstract:
We show that noncommutative gauge theories with arbitrary
compact gauge group defined by means of the Seiberg-Witten map have
the same one-loop anomalies as their commutative counterparts. This is
done in two steps. By explicitly calculating the
part of the renormalized effective
action, we first find the would-be one-loop anomaly of the theory to
all orders in the noncommutativity parameter
. And
secondly we isolate in the would-be anomaly radiative corrections
which are not BRS trivial. This gives as the only true anomaly
occurring in the theory the standard Bardeen anomaly of commutative
spacetime, which is set to zero by the usual anomaly cancellation
condition.