5 Dimensional Spacetime with q-deformed Extra Space
High Energy Physics - Theory
2009-11-07 v3
Abstract
An attempt to get a non-trivial-mass structure of particles in a Randall-Sundrum type of 5-dimensional spacetime with q-deformed extra dimension is discussed. In this spacetime, the fifth dimensional space is boundary free, but there areises an elastic potential preventing free motion toward the fifth direction. The q-deformation is, then, introduced in such a way that the spacetime coordinates become non-commutative between 4-dimensional components and the fifth component. As a result of this q-deformation, there arises naturally an ultraviolet-cutoff effect for the propagators of particles embedded in this spacetime.
Cite
@article{arxiv.hep-th/0209199,
title = {5 Dimensional Spacetime with q-deformed Extra Space},
author = {S. Naka and H. Toyoda},
journal= {arXiv preprint arXiv:hep-th/0209199},
year = {2009}
}
Comments
14 pages, Latex file, 2 eps figures