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


Dayi O.

PHYSICS LETTERS B, cilt.560, ss.239-244, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 560
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0370-2693(03)00413-1
  • Dergi Adı: PHYSICS LETTERS B
  • Sayfa Sayıları: ss.239-244

Özet

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.