Phys. Rev. Lett. 100, 021102 (2008) [4 pages]Lorentz Violation for Photons and Ultrahigh-Energy Cosmic RaysReceived 13 August 2007; revised 19 November 2007; published 18 January 2008 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|≳10-14 and ξ2≲-10-6, respectively, would lead to a photon component in cosmic rays above 1019 eV 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.021102
DOI:
10.1103/PhysRevLett.100.021102
PACS:
98.70.Sa, 11.30.Cp, 96.50.sb
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