Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays

Details Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays

2007-08-13

arxiv.org/abs/0708.1737v2

Phys.Rev.Lett.100:021102,2008

Astronomy and Astrophysics

Astrophysics

4 revtex pages, 3 postscript figures included, version published in PRL

Scientific paper

10.1103/PhysRevLett.100.021102

Lorentz symmetry breaking at very high energies may lead to photon dispersion relations of the form omega^2=k^2+xi_n k^2(k/M_Pl)^n with new terms suppressed by a power n of the Planck mass M_Pl. We show that first and second order terms of size xi_1 > 10^(-14) and xi_2 < -10^(-6), respectively, would lead to a photon component in cosmic rays above 10^(19) eV that should already have been detected, if corresponding terms for electrons and positrons are significantly smaller. This suggests that Lorentz invariance breakings suppressed up to second order in the Planck scale are unlikely to be phenomenologically viable for photons.

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