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Published July 21, 2003 | Submitted
Journal Article Open

Quantum aspects of the Seiberg–Witten map in noncommutative Chern–Simons theory

Abstract

Noncommutative Chern–Simons theory can be classically mapped to commutative Chern–Simons theory by the Seiberg–Witten map. We provide evidence that the equivalence persists at the quantum level by computing two and three-point functions of field strengths on the commutative side and their Seiberg–Witten transforms on the noncommutative side to the first nontrivial order in perturbation theory.

Additional Information

© 2003 Elsevier B.V. Received 4 February 2003; Accepted 2 May 2003. Available online 27 May 2003. This article is registered under preprint number hep-th/0301133. Y.O. and H.O. would like to thank the Aspen Center for Physics, where part of this work was done. This work was supported in part by the DOE grant DE-FG03-92ER40701. The work of K.K. was supported in part by the Natural Sciences and Engineering Research Council of Canada. The work of Y.O. was supported in part by a John A. McCone Fellowship in Theoretical Physics from California Institute of Technology.

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August 19, 2023
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