Classical dynamics on Snyder spacetime
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2013
- DOI:
- 10.48550/arXiv.1308.0673
- arXiv:
- arXiv:1308.0673
- Bibcode:
- 2013arXiv1308.0673M
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 8 pages, LaTeX. The choice of gauge in the original version was inconsistent with the dynamics. This error has been corrected