Conformal Anisotropic Mechanics
High Energy Physics - Theory
2010-04-06 v2
Abstract
In this paper we implement scale anisotropic transformations in the space-time in classical mechanics. The resulting system is consistent with the dispersion relation of gravity at a Lifshitz point recently considered in arXiv:0901.3775. Also, we show that our model is a generalization of the conformal mechanics of Alfaro, Fubini and Furlan. For arbitrary we construct the dynamical symmetries that correspond to the Schroedinger algebra. Furthermore, we obtain the Boltzman distribution for a gas of free particles compatible with anisotropic scaling transformations and compare our result with the corresponding thermodynamics of the recent anisotropic black branes proposed in arXiv:0907.4755.
Keywords
Cite
@article{arxiv.0909.3540,
title = {Conformal Anisotropic Mechanics},
author = {Juan M. Romero and Vladimir Cuesta and J. Antonio Garcia and J. David Vergara},
journal= {arXiv preprint arXiv:0909.3540},
year = {2010}
}
Comments
6 pages