Ação de Euler-Heisenberg no contexto de violação de simetria de Lorentz

Abstract

The effective action of Euler Heisenberg describes the nonlinear dynamics of electromagnetic fields in vacuum. Such action takes into account the polarization in a vacuum for a bond, in addition to describing also the photon propagation through arbitrary electromagnetic fields that vary slowly. So, since its discovery, the effective action of Euler Heisenberg has been studied in various contexts, such as the scattering of light by light, pair production in a vacuum, Division of photons, birefringence in vacuum, effective action in gravity and string theory, among others. In this work we performed a study on the Lorentz transformations of observer and grains, showing that, in the presence of a field, the revolutions and changes of speed (boost) break the equivalence between these two transformations (Observer and particle). We studied also the violation of Lorentz invariance by consideration of some terms related to the extended standard model, with a focus on quantum electrodynamics extended. We carry out a Perturbative calculation in the cμν coefficient, a coefficient of this responsible for violation of Lorentz symmetry of particle, however impose rotational invariance. From the results of this calculation, we can retrieve the Perturbative result to the effect of the Division of photons in a vacuum, as well as the effective action of Euler Heisenberg with Lorentz violation, the linear coefficient c00.