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Lorentz Violation and Ultrahigh-Energy Photons · Around

2008

Lorentz Violation and Ultrahigh-Energy Photons

Galaverni, Matteo, Sigl, Guenter

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The propagation of photons, electrons and positrons at ultra-high energies above 10^{19} eV can be changed considerably if the dispersion relations of these particles are modified by terms suppressed by powers of the Planck scale.

We recently pointed out that the current non-observation of photons in the ultra-high energy cosmic ray flux at such energies can put strong constraints on such modified dispersion relations.
In the present work we generalize these constraints to all three Lorentz invariance breaking parameters that can occur in the dispersion relations for photons, electrons and positrons at first and second order suppression with the Planck scale.
We also show how the excluded regions in these three-dimensional parameter ranges would be extended if ultra-high energy photons were detected in the future.

Built on

S. R. Coleman and S. L. Glashow, “High-energy tests of Lorentz invariance,” Phys. Rev. D 59
1999
Earlier work this paper cites.
R. Aloisio, P. Blasi, P. L. Ghia and A. F. Grillo, “Probing the structure of space-time with cosmic rays,” Phys. Rev. D 62
2000
Earlier work this paper cites.
J. R. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Rev. D 63
2001
Earlier work this paper cites.
R. C. Myers and M. Pospelov, “Ultraviolet Modifications of Dispersion Relations in Effective Field Theory,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.

Similar

T. Jacobson, S. Liberati and D. Mattingly, “Threshold effects and Planck scale Lorentz violation: Combined constraints from high energy astrophysics,” Phys. Rev. D 67
2003
Cited alongside, same era.
D. Mattingly, T. Jacobson and S. Liberati, “Threshold configurations in the presence of Lorentz violating dispersion relations,” Phys. Rev. D 67
2003
Cited alongside, same era.
T. A. Jacobson, S. Liberati, D. Mattingly and F. W. Stecker, “New limits on Planck scale Lorentz violation in QED,” Phys. Rev. Lett. 93
2004
Cited alongside, same era.
T. Jacobson, S. Liberati and D. Mattingly, “Lorentz violation at high energy: Concepts, phenomena and astrophysical constraints,” Annals Phys. 321
2006
Cited alongside, same era.
for a compilation see, e.g., V. A. Kostelecky and N. Russell, “Data Tables for Lorentz and CPT Violation,” arXiv:0801.0287 [hep-ph]
Original
Cited in the paper.
W. Bietenholz, “Cosmic Rays and the Search for a Lorentz Invariance Violation,” arXiv:0806.3713 [hep-ph]
Original
Cited in the paper.
L. Maccione and S. Liberati, “GZK photon constraints on Planck scale Lorentz violation in QED,” arXiv:0805.2548 [astro-ph]
Original
Cited in the paper.
D. Mattingly, “Have we tested Lorentz invariance enough?,” arXiv:0802.1561 [gr-qc]
Original
Cited in the paper.
J. Albert et al
Original
Cited in the paper.

Then

M. Risse and P. Homola, “Search for ultra-high energy photons using air showers,” Mod. Phys. Lett. A 22
2007
Later among the works it cites.
L. Maccione, S. Liberati, A. Celotti and J. G. Kirk, “New constraints on Planck-scale Lorentz Violation in QED from the Crab Nebula,” JCAP 0710
Original
2007
Later among the works it cites.
M. Galaverni and G. Sigl, “Lorentz Violation for Photons and Ultra-High Energy Cosmic Rays,” Phys. Rev. Lett. 100
2008
Closest in time.
J. Ellis, N. E. Mavromatos and D. V. Nanopoulos, Phys. Lett. B 665
Original
2008
Closest in time.

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