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Title: Noncommutative spaces, the quantum of time, and Lorentz symmetry

Abstract

We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are not commutative, with commutation relations similar to the relations of the Snyder and Yang spaces. Furthermore, using a reparametrized relativistic particle we obtain a realization of the Snyder type spaces and we construct an action for them.

Authors:
; ;  [1];  [2]
  1. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico 04510 DF (Mexico)
  2. (Mexico)
Publication Date:
OSTI Identifier:
21020187
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.065008; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; COMMUTATION RELATIONS; LORENTZ INVARIANCE; QUANTUM FIELD THEORY; RELATIVISTIC RANGE; SPACE; SPACE-TIME; SYMMETRY

Citation Formats

Romero, Juan M., Vergara, J. D., Santiago, J. A., and Centro de Investigacion Avanzada en Ingenieria Industrial, Universidad Autonoma del Estado de Hidalgo, Pachuca 42090. Noncommutative spaces, the quantum of time, and Lorentz symmetry. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.065008.
Romero, Juan M., Vergara, J. D., Santiago, J. A., & Centro de Investigacion Avanzada en Ingenieria Industrial, Universidad Autonoma del Estado de Hidalgo, Pachuca 42090. Noncommutative spaces, the quantum of time, and Lorentz symmetry. United States. doi:10.1103/PHYSREVD.75.065008.
Romero, Juan M., Vergara, J. D., Santiago, J. A., and Centro de Investigacion Avanzada en Ingenieria Industrial, Universidad Autonoma del Estado de Hidalgo, Pachuca 42090. Thu . "Noncommutative spaces, the quantum of time, and Lorentz symmetry". United States. doi:10.1103/PHYSREVD.75.065008.
@article{osti_21020187,
title = {Noncommutative spaces, the quantum of time, and Lorentz symmetry},
author = {Romero, Juan M. and Vergara, J. D. and Santiago, J. A. and Centro de Investigacion Avanzada en Ingenieria Industrial, Universidad Autonoma del Estado de Hidalgo, Pachuca 42090},
abstractNote = {We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are not commutative, with commutation relations similar to the relations of the Snyder and Yang spaces. Furthermore, using a reparametrized relativistic particle we obtain a realization of the Snyder type spaces and we construct an action for them.},
doi = {10.1103/PHYSREVD.75.065008},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}