Noncommutative electrodynamics and ultra high energy gamma rays

Abstract

Plane waves in noncommutative classical electrodynamics (NCED) have a peculiar dispersion relation. We investigate the kinematical conditions on this deformed "mass shell" which come from ultra high energy gamma rays and discuss noncommutative dynamical effects on the gamma absorption by the infrared background and on the intrinsic spectrum. Finally we note that in NCED there is a strong correlation between the modified dispersion relation and the presence of dynamical effects in electromagnetic phenomena such as in the case of the synchrotron radiation. From this point of view, the limits on the typical energy scale of the violation of Lorentz invariance obtained by deformed dispersion relations and by assuming undeformed dynamical effects should be taken with some caution.

Latex file, 7 pages, to be published in Europhysics Letters

References in corpus (10)

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• Noncommutative Synchrotron
• Major Mergers of Haloes, Growth of Massive Black Holes and Evolving Luminosity Function of Quasars
• Observation of gamma-rays greater than 10 TeV from Markarian 421
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• Tests of Quantum Gravity and Large Extra Dimensions Models Using High Energy Gamma Ray Observations
• Astrophysics at the Highest Energy Frontiers

Cited by in corpus (9)

• Testing the Noncommutative Standard Model at a Future Photon Collider
• Laboratory bounds on Lorentz symmetry violation in low energy neutrino physics
• On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Noncommutative geometry induced by spin effects
• Ether and Relativity
• Quantum-Gravity phenomenology and high energy particle propagation
• Test of Space-Time Non-Commutativity at the Future Circular Collider