Descrição de Horava-Lifshitz para modelos que violam a invariância de Lorentz via operadores de altas ordens derivativas.

Abstract

In this work, we used a Hoˇrava-Lifshitz scaling to rewrite a high-order derivative electrodynamics that violates the Lorentz symmetry, controlled by 4-vector (n )s which determine the space-time preferential directions. The equations of motion were obtained, through which the modified dispersion relation was analyzed together with observational results of gamma ray bursts (GRB). The limits of the critical exponent were discussed from the GRBs values through calculation of degree of polarization (using five-dimensional operator) and temporal delay (using six-dimensional operator) on photon propagation. The physical implications were compared with the current results from the literature regarding Lorentz invariance violation via GRB.