SANTOS, P. V.; http://lattes.cnpq.br/3951800799770483; SANTOS, Priscila Valdênia dos.
Résumé:
In this work we fix our attention to the impact of a term such as CPT - odd
Chern - Simons or CFJ model in classical and quantum electrodynamics (QED) in
(3+1) dimensions. From the classical point of view, we conducted a survey of the
characteristics of Maxwell's theory, when this term is present. In QED we investigate
the consistency of the possibility of inducing the CFJ model through radiative
corrections. We used the method of derivative expansion of determinants, for massless
and massive fermions. In the massless case, we rationalize the propagator of
theory and show that the coefficient of the CFJ model can be found with finite and
nonzero value through two different regularization schemes. In the massive case, we
use an pertubative approximation up to first order in 6M, and we also show that the
coefficient of the CFJ model does not change when applied two different regularization
schemes. We conclude our work discussing the problem of a polarized photon
while splitted in the vacuum. In the context of Lorentz symmetry violation, we show
that it is possible to induce an effective action similar to CFJ model with non-zero
coefficient.