Field theory amplitudes in a space with SU(2) fuzziness
High Energy Physics - Theory
2008-11-26 v1
Abstract
The structure of transition amplitudes in field theory in a three-dimensional space whose spatial coordinates are noncommutative and satisfy the SU(2) Lie algebra commutation relations is examined. In particular, the basic notions for constructing the observables of the theory as well as subtleties related to the proper treatment of distributions (corresponding to conservation laws) are introduced. Explicit examples are given for scalar field theory amplitudes in the lowest order of perturbation.
Cite
@article{arxiv.0712.1670,
title = {Field theory amplitudes in a space with SU(2) fuzziness},
author = {H. Komaie-Moghaddam and A. H. Fatollahi and M. Khorrami},
journal= {arXiv preprint arXiv:0712.1670},
year = {2008}
}
Comments
20 pages, no figs, LaTeX, to appear in EPJ-C