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A twisted look on kappa-Minkowski: U(1) gauge theory

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Abstract

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenological consequences. However, the construction of field theories on this space, although operationally well-defined, is plagued with ambiguities. A part of ambiguities can be resolved by clarifying the geometrical picture of gauge transformations on the κ-Minkowski space-time. To this end we use the twist approach to construct the noncommutative U(1) gauge theory coupled to fermions. However, in this approach we cannot maintain the kappa-Poincaré symmetry; the corresponding symmetry of the twisted kappa-Minkowski space is the twisted igl(1,3) symmetry. We construct an action for the gauge and matter fields in a geometric way, as an integral of a maximal form. We use the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom and expand the action to obtain the first order corrections in the deformation parameter.

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Authors and Affiliations

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

    Marija Dimitrijević

  2. Theoretical Physics Division, Rudjer Bošković Institute, Bijenička 54, 10000, Zagreb, Croatia

    Larisa Jonke

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  1. Marija Dimitrijević
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  2. Larisa Jonke
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Correspondence to Larisa Jonke.

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Dimitrijević, M., Jonke, L. A twisted look on kappa-Minkowski: U(1) gauge theory. J. High Energ. Phys. 2011, 80 (2011). https://doi.org/10.1007/JHEP12(2011)080

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