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Anomaly freedom in Seiberg-Witten noncommutative gauge theories

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Ruiz Ruiz, Fernando and Pérez Martín, Carmelo (2003) Anomaly freedom in Seiberg-Witten noncommutative gauge theories. Journal of High Energy Physics . ISSN 1126-6708

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Official URL: http://dx.doi.org/10.1088/1126-6708/2003/07/068




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 epsilon(mu1mu2mu3mu4) 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 theta(munu). 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.


Item Type:Article
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© SISSA/ISAS 2003.
CPM and FRR are grateful to CICyT, Spain for partial support through grant No. BFM2002-00950.

Uncontrolled Keywords:Local Brst Cohomology, Yang-Mills Theory, Standard Model, Spaces, Renormalization, Map
Subjects:Sciences > Physics
ID Code:25060
Deposited On:11 Apr 2014 14:56
Last Modified:11 Apr 2014 14:56

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