Field theory on kappa-spacetime
High Energy Physics - Theory
2009-11-10 v1
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.
Cite
@article{arxiv.hep-th/0407187,
title = {Field theory on kappa-spacetime},
author = {Marija Dimitrijevic and Larisa Jonke and Lutz Moeller and Efrossini Tsouchnika and Julius Wess and Michael Wohlgenannt},
journal= {arXiv preprint arXiv:hep-th/0407187},
year = {2009}
}
Comments
7 pages, talk given by L. Jonke at the XIII International Colloquium on Integrable Systems and Quantum Groups, June 2004, Prague