Lifshitz-scaling to Lorentz-violating high derivative operator and gamma-ray busts

Abstract

In this work we have used a Hořava-Lifshitz scaling to rewrite a Lorentz-violating higher-order derivative electrodynamics controlled by a background four-vector $n_{\mu }$. The photon propagator was obtained and we have analyzed the dispersion relation and the observational results of gamma-ray burst (GRB) experiments were used. The limits of the critical exponent were discussed in the light of the GRB data and the physical implications were compared with the current GRB-Lorentz-invariance-violation literature. We show that the bound for the Lorentz-violating coupling for dimension-six operators, obtained from a Hořava-Lifshitz scaling, is eight orders of magnitude better than the result found without considering a Hořava-Lifshitz scaling, also this bound is nearby one, which is expected to be relevant phenomenologically.

arXiv comment7 pages, 1 figure, Latex; version to appear in PRD

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Cited by in corpus (8)

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• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Black branes in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity
• Lorentz-violating extension of the spin-one Duffin-Kemmer-Petiau equation
• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Induction of the Lorentz-violating effective actions in quantum electrodynamics
• Lifshitz-scaling in CPT-even Lorentz-violating electrodynamics and GRB time delay