Lorentz-breaking theory with higher derivatives in spinor sector

Abstract

We consider the two-point function of the gauge field in Lorentz-breaking theories with higherderivative extension of the Dirac Lagrangian. We show that the Carroll-Field-Jackiw term naturally arises in this theory as a quantum correction being perfectly finite and thus displaying no ambiguities. Also, the finiteness of this term at low energy limit and the absence of large Lorentz violating corrections allows to avoid the fine-tuning problem. * Electronic address: jroberto@fisica.ufpb.br † Electronic address: creyes@ubiobio.cl

Induction of the Lorentz-violating effective actions in quantum electrodynamics

“…Among these developments one of the most interesting results is the relationship between the parameters n µ ∼ b µ present in the Lorentz and CPT symmetries breaking obtained when we integrate over the fermion fields in the modified Dirac action. Similar considerations have been addressed in the literature in several different contexts such as extended QED at finite temperature [19][20][21][22][23], non-Abelian QED [24], massless extended QED [25,26], gravity [27][28][29] and nonminimal extended QED [30][31][32].…”

Radiative corrections and Lorentz violation

“…So, it is not expected that consistent quantum corrections can be calculated in general, however specific terms can be shown to provide interesting results, and indeed several examples have been reported in the literature. Up to now, most of these studies focused on the leading, dimension-five, operators, with the dimension six case being discussed recently in [40] for the gauge sector, and in [54] for the spinor sector.…”

“…In this case, the calculations will be analogous to [61], with the only difference being the presence of the γ 5 factor which results in the mapping H αβλμ → 1 2 H σρ αβ σρλμ . Therefore, we can write (54) which yields, for the divergent part,…”

Correction to the tunneling radiation of arbitrary spin fermions in Kerr Anti-de Sitter black hole

“…Reference [36] studied the particle action and the Dirac equation in flat space-time based on Lorentz symmetry violation theory. Generalizing the ordinary derivatives in flat space-time to the covariant derivatives in curved space-time, and the commutation relation of Gamma matricesγ µ andγ ν in flat space-time to the commutation relation in curved space-time, we can get the Dirac equation with Lorentz symmetry violation for fermions with spin 1/2 and mass m in the curved space-time, namely [36],…”