Correções radiativas na EDQ com extensões de violação de Lorentz e Horava-Lifshitz

Abstract

In the first half of this work we perform, initially, a literature review about the standard model extension, focusing in the minimal sector of the quantum electrody-namics extension, presenting the one-loop radiative corrections to the photon and f ́ermion propagators, and for the vertex, considering the CPT-even violation coefficients cμν, dμν, Hμν and (kF )μνλρ. We also show an extension of the Furry’s theorem for such model, and lastly, we study the radiative generation of the Lorentz-violating Euler-Heisenberg action, in the weak field approximation, through a perturbative approach in which the coefficient cμν is treated as an insertion in the fermion propagator and gives rise a new vertex, and also through a nonperturbative approach. In the second half of the work, we present an extension of the usual quantum electrodynamics known as Hoˇrava-Lifshitz extension, which is characterized by an scale anisotropy between the space and time. We study Lifshitz quantum electrodynamics with critical dynamical exponent z = 3 and we calculate the radiative corrections to the photon and fermion propagators, beyond discuss the renormalization of the theory. We discuss the Furry’s theorem for the present model and lastly we present a preliminar calculation for the induction of the Euler-Heisenberg action in this context.