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

Dayi O.

PHYSICS LETTERS B, vol.560, pp.239-244, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 560
  • Publication Date: 2003
  • Doi Number: 10.1016/s0370-2693(03)00413-1
  • Journal Name: PHYSICS LETTERS B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.239-244
  • Istanbul Technical University Affiliated: No

Abstract

Noncommutative Maxwell-Chern-Simons theory in 3 dimensions is defined in terms of star product and noncommutative fields. The 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. (C) 2003 Published by Elsevier Science B.V.