Deformed Field Theory on kappa-spacetime

Dimitrijevic, Marija; Jonke, Larisa; Möller, Lutz; Tsouchnika, Efrossini; Wess, Julius; Wohlgenannt, Michael

Deformed Field Theory on kappa-spacetime

Authors

Dimitrijevic, Marija

Jonke, Larisa

Möller, Lutz

Tsouchnika, Efrossini

Wess, Julius

Wohlgenannt, Michael

Description

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 (Poincar\' e 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 star-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.
19 pages; changes made in section 4 concerning the definition of field transformations