Noncommutativity in Field Space and Lorentz Invariance Violation
High Energy Physics - Theory
2009-11-07 v3 Astrophysics
High Energy Physics - Phenomenology
Abstract
The connection between Lorentz invariance violation and noncommutativity of fields in a quantum field theory is investigated. A new dispersion relation for a free field theory with just one additional noncommutative parameter is obtained. While values for the noncommutative scale much larger than 10^{-20} eV^{-1} are ruled out by the present experimental status, cosmic ray physics would be compatible with and sensible to a noncommutativity arising from quantum gravity effects. We explore the matter-antimatter asymmetry which is naturally present in this framework.
Keywords
Cite
@article{arxiv.hep-th/0207158,
title = {Noncommutativity in Field Space and Lorentz Invariance Violation},
author = {J. M. Carmona and J. L. Cortes and J. Gamboa and F. Mendez},
journal= {arXiv preprint arXiv:hep-th/0207158},
year = {2009}
}
Comments
10 pages, no figures. Final version to appear in Phys. Lett. B with slight changes in the presentation