Field theory on kappa-spacetime

Physics – High Energy Physics – High Energy Physics - Theory

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7 pages, talk given by L. Jonke at the XIII International Colloquium on Integrable Systems and Quantum Groups, June 2004, Prag

Scientific paper

10.1007/s10582-004-9785-z

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 kappa-deformed Poincare 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. As an example, the Klein-Gordon equation is defined and derived from an action.

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