Estudo do potencial de interação elétron-elétron no contexto da Teoria de Maxwell-Chern-Simonsproca com violação de Lorentz

Abstract

This work is initiated with the presentation of an overview on the main theoretical models of planar electrodynamics (QED3), which are studied for their classical solutions. This is done by obtaining the equations of wave, which provide their solutions to the fields and potential. As a result, makes up the youngest of the potential for interaction and e-e- and in the context of models of planar Maxwell-Chern-Simons (MCS) and Maxwell-Chern-Simons-Proc (MCS-proc), which is conducted within the regime of validity of the Born approximation, where the potential for interaction is given by the Fourier transform of the amplitude of spreading Möller (calculated to tree level, the scheme not relativístico). In the meantime, there is the prospect of investigating the infuência a Lorentz word rapist on the interaction of electron-electron. As a theoretical tool to carry out such research, takes up the planar version of the model-Maxwell-Carrol Field-Jackiw, coupled to the sector of Dirac. Following the procedure already established, the potential of electron-electron interaction is obtained for the case of a background of type-time, vµ = (v0,→0 ): This potential for having a logarithmic type of asymptotic behavior is not appropriate to represent physical interactions in (1 +2) dimensions. As end of this research work, is addressing this issue in the context of the model plane Proc of MCS-in violation of Lorentz (originated from the reduction of the dimensional model of Higgs-abelian of Maxwell-Carroll-Field-Jackiw). It is supplementing this model with the industry to properly Dirac coupled with the field of gauge (Aµ) And climbing (φ), and using the same procedures for calculating already adopted, are the words of the potential interaction of electron-electron, it is completely armored. This potential exhibits a region of pit, which leads to attraction, which may be relevant in an attempt to explain the formation of electron-electron pairs in the context of this theoretical model.