Escalonamento Lifshitz para violação da invariância de Lorentz em altas ordens derivativas e explosões cosmológicas de radiação gama.

Abstract

In this work, we study a Horava-Lifshitz scaling which can be used to rewrite an electrodynamics which breaks the Lorentz invariance with derivatives operators controlled by a constant four-vector, n . This method was initially used to scale the Maxwell lagrangian and then the high orders derivatives lagrangian, known as Myers-Pospelov model. After of the process, we obtained that both the lagrangian are described in terms of a critical exponent z, which can be inserted as anisotropic character for both theories. The of Feynman propagators and dispersion relations for both models were obtained. Due to the birefringent character attributed to Myers-Pospelov model, we use the associate propagation modes, as solutions for frequencies, and we perform the polarization calculations to determine the upper limits of occurrences related with e ects of Lorentz invariance breaking. Such operations are consistent with the recent observations of gamma-ray bursts, more speci cally, the GRB 051218A event. The parameter which controls of the Lorentz invariance violation, it presents superior in eight (8) orders of magnitude, compared with some results of literature. The time delay in the propagation of two photons was also determined.