Quantum gravity and spin-1/2 particle effective dynamics

Jorge Alfaro, Hugo A. Morales-Técotl, and Luis F. Urrutia
Phys. Rev. D 66, 124006 – Published 18 December 2002
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Abstract

Quantum gravity phenomenology opens up the possibility of probing Planck scale physics. Thus, by exploiting the generic properties that a semiclassical state of the compound system fermions plus gravity should have, an effective dynamics of spin-1/2 particles is obtained within the framework of loop quantum gravity. Namely, at length scales much larger than Planck length lP1033cm and below the wavelength of the fermion, the spin-1/2 dynamics in flat spacetime includes Planck scale corrections. In particular we obtain modified dispersion relations in vacuo for fermions. These corrections yield a time of arrival delay of the spin-1/2 particles with respect to a light signal and, in the case of neutrinos, a novel flavor oscillation. To detect these effects the corresponding particles must be highly energetic and should travel long distances. Hence neutrino bursts accompanying gamma ray bursts or ultrahigh energy cosmic rays could be considered. Remarkably, future neutrino telescopes may be capable of testing such effects. This paper provides a detailed account of the calculations and elaborates on results previously reported in a Letter. These are further amended by introducing a real parameter Υ aimed at encoding our lack of knowledge of scaling properties of the gravitational degrees of freedom.

  • Received 26 August 2002

DOI:https://doi.org/10.1103/PhysRevD.66.124006

©2002 American Physical Society

Authors & Affiliations

Jorge Alfaro*

  • Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago 22, Chile

Hugo A. Morales-Técotl

  • Center for Gravitational Physics and Geometry, Department of Physics, The Pennsylvania State University, 104 Davey Lab, University Park, Pennsylvania 16802
  • Departamento de Física, Universidad Autónoma Metropolitana Iztapalapa, A.P. 55-534, México D.F. 09340, Mexico

Luis F. Urrutia

  • Departamento de Física de Altas Energías, Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México A.P. 70-543, México D.F. 04510, Mexico

  • *Email address: jalfaro@fis.puc.cl
  • Member of Abdus Salam International Center for Theoretical Physics, Trieste, Italy. Email address: hugo@xanum.uam.mx
  • Email address: urrutia@nuclecu.unam.mx

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Issue

Vol. 66, Iss. 12 — 15 December 2002

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