Alternative approaches to Lorentz violation invariance in loop quantum gravity inspired models

Jorge Alfaro, Hugo A. Morales-Técotl, Marat Reyes, and L. F. Urrutia
Phys. Rev. D 70, 084002 – Published 4 October 2004

Abstract

Recent claims point out that possible violations of Lorentz symmetry appearing in some semiclassical models of extended matter dynamics motivated by loop quantum gravity can be removed by a different choice of phase-space variables. In this note we show that such alternative is inconsistent with (i) the choice of variables in the regularized underlying quantum theory from which the effective theories are derived and (ii) the application of the correspondence principle. A consistent choice will violate standard Lorentz invariance, with the exception of trivial zero Planck scale corrections which are allowed by the analysis. Thus, for nontrivial corrections, to preserve a relativity principle in these models, the linear realization of Lorentz symmetry should be extended or superseded.

  • Received 5 May 2004

DOI:https://doi.org/10.1103/PhysRevD.70.084002

©2004 American Physical Society

Authors & Affiliations

Jorge Alfaro1,*, Hugo A. Morales-Técotl2,†, Marat Reyes1,‡, and L. F. Urrutia3

  • 1Facultad de Física, Pontificia Universidad Católica de Chile Casilla 306, Santiago 22, Chile
  • 2Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa A.P. 55-534, México D.F. 09340, México
  • 3Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A.P. 70-543, México D.F. 04510, México

  • *Electronic address: jalfaro@puc.cl
  • Electronic address: hugo@xanum.uam.mx
  • Electronic address: cmreyes@puc.cl

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Issue

Vol. 70, Iss. 8 — 15 October 2004

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