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Deformed field theory on \(\kappa\)-spacetime

  • theoretical physics
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Abstract.

A general formalism is developed that allows the construction of a field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime (the Poincaré group) is replaced by a quantum group. This formalism is demonstrated for the \(\kappa\)-deformed Poincaré algebra and its quantum space. The algebraic setting is mapped to the algebra of functions of commuting variables with a suitable *-product. Fields are elements of this function algebra. The Dirac and Klein-Gordon equation are defined and an action is found from which they can be derived.

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Authors and Affiliations

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

    M. Dimitrijević, L. Jonke, L. Möller, E. Tsouchnika, J. Wess & M. Wohlgenannt

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

    L. Möller & J. Wess

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

    M. Dimitrijević

  4. Theoretical Physics Division, Rudjer Boskovic Institute, P.O. Box 180, 10002, Zagreb, Croatia

    L. Jonke

Authors
  1. M. Dimitrijević
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  2. L. Jonke
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  3. L. Möller
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  4. E. Tsouchnika
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  5. J. Wess
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  6. M. Wohlgenannt
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Correspondence to M. Dimitrijević.

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Received: 17 July 2003, Published online: 26 September 2003

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Dimitrijević, M., Jonke, L., Möller, L. et al. Deformed field theory on \(\kappa\)-spacetime. Eur. Phys. J. C 31, 129–138 (2003). https://doi.org/10.1140/epjc/s2003-01309-y

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  • DOI: https://doi.org/10.1140/epjc/s2003-01309-y

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