Deformed Field Theory on kappa-spacetime
High Energy Physics - Theory
2008-11-26 v2
Abstract
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 Poincar\'e 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.
Cite
@article{arxiv.hep-th/0307149,
title = {Deformed Field Theory on kappa-spacetime},
author = {Marija Dimitrijevic and Larisa Jonke and Lutz Möller and Efrossini Tsouchnika and Julius Wess and Michael Wohlgenannt},
journal= {arXiv preprint arXiv:hep-th/0307149},
year = {2008}
}
Comments
19 pages; changes made in section 4 concerning the definition of field transformations