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Classical dynamics on Snyder spacetime

S. Mignemi

Dipartimento di Matematica e Informatica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy

INFN, Sezione di Cagliari, Italy

https://doi.org/10.1142/S0218271815500431Cited by:15 (Source: Crossref)

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 βE². A remarkable result is that in the relativistic Snyder model a consistent choice of the time variable must necessarily depend on the dynamics. This is a consequence of the nontrivial mixing between position and momentum coordinates intrinsic to the Snyder model.

Keywords:

PACS: 04.60.Bc

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