Principle action for particles faster than light
General Physics
2012-04-06 v2 General Relativity and Quantum Cosmology
Abstract
A general action for particles faster than light is presented. It is demonstrated that this action is invariant under reparametrizations. For several cases, it is shown that in the high velocity regime the action is invariant under anisotropic space-time transformation and at quantum level the system has fractal behavior. For those cases, it is shown that the action describes a particle in Finsler geometry and equivalent to one dimensional field theory in a curved space, where the metric depends on temporal derivatives.
Cite
@article{arxiv.1112.2301,
title = {Principle action for particles faster than light},
author = {Juan M. Romero and Jose A. Santiago and O. Gonzalez-Gaxiola},
journal= {arXiv preprint arXiv:1112.2301},
year = {2012}
}
Comments
11 pages, no figures. Improved version, references added. Accepted for publication in Mod.Phys.Lett. A