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Field Theory on Kappa-spacetime

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Czechoslovak Journal of Physics Aims and scope

Abstract

A general formalism is developed, that allows the construction of field theory on quantum spaces which are deformations of ordinary spacetime. The symmetry group of spacetime is replaced by a quantum group. This formalism is demonstrated for the κ-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. As an example, the Klein-Gordon equation is defined and derived from an action.

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Authors and Affiliations

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

    Marija Dimitrijević

  2. Rudjer Boskovic Institute, Theoretical Physics Division, PO Box 180, 10002 Zagreb, Croatia

    Larisa Jonke

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

    Lutz Möller, Efrossini Tsouchnika & Julius Wess

  4. Technische Universität Wien, Institut für Theoretische Physik, Wiedner Hauptstr. 8-10, 1040 Wien, Austria

    Michael Wohlgenannt

Authors
  1. Marija Dimitrijević
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  2. Larisa Jonke
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  3. Lutz Möller
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  4. Efrossini Tsouchnika
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  5. Julius Wess
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  6. Michael Wohlgenannt
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Dimitrijević, M., Jonke, L., Möller, L. et al. Field Theory on Kappa-spacetime. Czech J Phys 54, 1243–1248 (2004). https://doi.org/10.1007/s10582-004-9785-z

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  • DOI: https://doi.org/10.1007/s10582-004-9785-z

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