Classical dynamics on Snyder spacetime
High Energy Physics - Theory
2013-10-22 v2
Abstract
We study the classical dynamics of a particle in Snyder spacetime, adopting the formalism of constrained Hamiltonian systems introduced by Dirac. We show that the motion of a particle in a scalar potential is deformed with respect to special relativity by terms of order \beta E^2. An important result is that in the relativistic Snyder model a consistent choice of the time variable must necessarily depend on the dynamics.
Cite
@article{arxiv.1308.0673,
title = {Classical dynamics on Snyder spacetime},
author = {S. Mignemi},
journal= {arXiv preprint arXiv:1308.0673},
year = {2013}
}
Comments
8 pages, LaTeX. The choice of gauge in the original version was inconsistent with the dynamics. This error has been corrected