Estudo da QED efetiva de Myers-Pospelov violando as simetrias de Lorentz-CPT.

Abstract

In this work, we consider the e ective Myers-Pospelov QED with dimension-5 operators to study some aspects such as issue of superluminal neutrinos recently pointed out in OPERA experiments and the 2D-4D projection of theory. In the superluminal dynamics, we assume these operators in the photon and neutrino sectors coupled to Lorentz-violating backgrounds in a preferred frame de ned by a time-like direction. We show that such operators can produce a curve with that ts OPERA, MINOS and supernova SN1987a data. In the process of 4D-2D projection of the Myers-Pospelov QED we get analogs of these operators. Namely, we obtain a new two- dimensional theory with corresponding scalar and fermionic 2D Myers-Pospelov Lorentz-violating dimension-3 operators. New defect structures can also be found from this new projected out 2D scalar sector. Furthermore, we also show that this 2D scalar sector can be also induced via quantum correction from fermionic determinate in 2D.