https://doi.org/10.1140/epjc/s2003-01309-y
theoretical physics
Deformed field theory on $\kappa$-spacetime
1
Fakultät für Physik, Universität München, Theresienstr. 37, 80333, München, Germany
2
Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany
3
Faculty of Physics, University of Belgrade, Studentski trg 12, 11000, Beograd, Serbia
4
Theoretical Physics Division, Rudjer Boskovic Institute, P.O. Box 180, 10002, Zagreb, Croatia
* e-mail: dmarija@theorie.physik.uni-muenchen.de
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.
© Springer-Verlag, 2003
