Conformal anisotropic mechanics and the Horava dispersion relation

Journal Article · Mon Mar 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.065013· OSTI ID:21431026

Romero, Juan M; Cuesta, Vladimir; Garcia, J Antonio; Vergara, J David ^[1]

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1. Departamento de Matematicas Aplicadas y Sistemas, Universidad Autonoma Metropolitana-Cuajimalpa, Mexico 01120 DF (Mexico)

In this paper we implement scale anisotropic transformations between space and time in classical mechanics. The resulting system is consistent with the dispersion relation of Horava gravity [P. Horava, Phys. Rev. D 79, 084008 (2009)]. Also, we show that our model is a generalization of the conformal mechanics of Alfaro, Fubini, and Furlan. For an arbitrary dynamical exponent we construct the dynamical symmetries that correspond to the Schroedinger algebra. Furthermore, we obtain the Boltzmann 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 the literature.

• OSTI ID: 21431026
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANISOTROPY
BRANES
CLASSICAL MECHANICS
COMPARATIVE EVALUATIONS
DISPERSION RELATIONS
DISTRIBUTION
EVALUATION
GRAVITATION
MECHANICS
SPACE
SYMMETRY
THERMODYNAMICS
TRANSFORMATIONS