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arXiv · hep-th/0407187

Field theory on kappa-spacetime

Marija Dimitrijevic·Larisa Jonke·Lutz Moeller·Efrossini Tsouchnika·Julius Wess·Michael Wohlgenannt
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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 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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Marija Dimitrijevic, Larisa Jonke, Lutz Moeller, Efrossini Tsouchnika, Julius Wess, Michael Wohlgenannt. 2004-07-21. Field theory on kappa-spacetime. https://doi.org/10.1007/s10582-004-9785-z

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