Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3

Details Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3 Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in d=3

2003-02-11

arxiv.org/abs/hep-th/0302074v2

Phys.Lett. B560 (2003) 239-244

Physics

High Energy Physics

High Energy Physics - Theory

7 pages. Some comments, new eqs. and references added. The version to be published in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(03)00413-1

Noncommutative Maxwell-Chern-Simons theory in 3-dimensions is defined in terms of star product and noncommutative fields. Seiberg-Witten map is employed to write it in terms of ordinary fields. A parent action is introduced and the dual action is derived. For spatial noncommutativity it is studied up to second order in the noncommutativity parameter \theta. A new noncommutative Chern-Simons action is defined in terms of ordinary fields, inspired by the dual action. Moreover, a transformation between noncommuting and ordinary fields is proposed.

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