Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics

Details Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics Seiberg-Witten maps and commutator anomalies in noncommutative electrodynamics

2005-05-26

arxiv.org/abs/hep-th/0505245v2

Phys.Rev.D72:085012,2005

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, minor changes, version appearing in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.085012

We exploit the Seiberg-Witten maps for fields and currents in a U(1) gauge theory relating the noncommutative and commutative (usual) descriptions to obtain the O(\theta) structure of the commutator anomalies in noncommutative electrodynamics. These commutators involve the (covariant) current-current algebra and the (covariant) current-field algebra. We also establish the compatibility of the anomalous commutators with the noncommutative covariant anomaly through the use of certain consistency conditions derived here.

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