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Field Theory on Kappa-spacetime |
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| Authors: | Marija Dimitrijević Larisa Jonke Lutz Möller Efrossini Tsouchnika Julius Wess Michael Wohlgenannt |
| Institution: | (1) University of Belgrade, Faculty of Physics, Studentski trg 12, 11000 Beograd, Serbia and Montenegro;(2) Rudjer Boskovic Institute, Theoretical Physics Division, PO Box 180, 10002 Zagreb, Croatia;(3) Universität München, Fakultät für Physik, Theresienstr. 37, 80333 München, Germany;(4) Technische Universität Wien, Institut für Theoretische Physik, Wiedner Hauptstr. 8-10, 1040 Wien, Austria |
| 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  -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. |
| Keywords: | field theory quantum group deformation |
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