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Gauge theories on the \(\kappa\)-Minkowski spacetime

  • theoretical physics
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Abstract.

This study of gauge field theories on \(\kappa\)-deformed Minkowski spacetime extends previous work on field theories on this example of a non-commutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.

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Authors and Affiliations

  1. Fakultät für Physik, Universität München, Theresienstr. 37, 80333, München, Germany

    M. Dimitrijević, F. Meyer, L. Möller & J. Wess

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

    M. Dimitrijević, F. Meyer, L. Möller & J. Wess

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

    M. Dimitrijević

Authors
  1. M. Dimitrijević
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  2. F. Meyer
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  3. L. Möller
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  4. J. Wess
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Corresponding author

Correspondence to M. Dimitrijević.

Additional information

Received: 17 December 2003, Revised: 6 May 2004, Published online: 23 June 2004

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Dimitrijević, M., Meyer, F., Möller, L. et al. Gauge theories on the \(\kappa\)-Minkowski spacetime. Eur. Phys. J. C 36, 117–126 (2004). https://doi.org/10.1140/epjc/s2004-01887-0

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  • DOI: https://doi.org/10.1140/epjc/s2004-01887-0

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