Lorentz Violation for Photons and Ultrahigh-Energy Cosmic Rays

Matteo Galaverni and Günter Sigl
Phys. Rev. Lett. 100, 021102 – Published 18 January 2008

Abstract

Lorentz symmetry breaking at very high energies may lead to photon dispersion relations of the form ω2=k2+ξnk2(k/MPl)n with new terms suppressed by a power n of the Planck mass MPl. We show that first and second order terms of size |ξ1|1014 and ξ2106, respectively, would lead to a photon component in cosmic rays above 1019eV that should already have been detected, if corresponding terms for e± are significantly smaller. This suggests that LI breaking suppressed up to second order in the Planck scale is unlikely to be phenomenologically viable for photons.

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  • Received 13 August 2007

DOI:https://doi.org/10.1103/PhysRevLett.100.021102

©2008 American Physical Society

Authors & Affiliations

Matteo Galaverni1,2,3 and Günter Sigl4,5

  • 1INAF-IASF Bologna, via Gobetti 101, I-40129 Bologna, Italy
  • 2Dipartimento di Fisica, Università di Ferrara, via Saragat 1, I-44100 Ferrara, Italy
  • 3INFN, Sezione di Bologna, Via Irnerio 46, I-40126 Bologna, Italy
  • 4II. Institut für theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany
  • 5APC* (AstroParticules et Cosmologie), 10, rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France

  • *UMR 7164 (CNRS, Université Paris 7, CEA, Observatoire de Paris).

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Vol. 100, Iss. 2 — 18 January 2008

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