U(1) gauge field theory on κ-Minkowski space

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Published 27 September 2005 • Published under licence by IOP Publishing Ltd
, , Citation Marija Dimitrijevic et al JHEP09(2005)068 DOI 10.1088/1126-6708/2005/09/068

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Author affiliations

1 Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany

2 Arnold Sommerfeld Center for Theoretical Physics, Universität München, Fakultät für Physik, Theresienstr. 37, 80333 München, Germany

3 University of Belgrade, Faculty of Physics, Studentski trg 12, 11000 Beograd, Serbia and Montenegro

4 Rudjer Bošković Institute, Theoretical Physics Division, Bijenicka 54, 10002 Zagreb, Croatia

5 Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany

Dates

  1. Received 18 April 2005
  2. Accepted 14 September 2005
  3. Published

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1126-6708/2005/09/068

Abstract

This study of U(1) gauge field theory on the kappa-deformed Minkowski spacetime extends previous work on gauge field theories on this type of noncommutative spacetime. We discuss in detail the properties of the Seiberg-Witten map and the resulting effective action for U(1) gauge theory with fermionic matter expanded in ordinary fields. We construct the conserved gauge current, fix part of the ambiguities in the Seiberg-Witten map and obtain an effective U(1) action invariant under the action of the undeformed Poincaré group.

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10.1088/1126-6708/2005/09/068