Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning
The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers–Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We compute the fermion self-energy at one-loop order considering its even and odd CPT contributions. In the even sector we find small radiative corrections to the usual parameters of QED which also turn to be finite. In the odd sector the axial operator is shown to contain unsuppressed effects of Lorentz violation leading to a possible fine-tuning. We use dimensional regularization to deal with the divergencies and a generic preferred four-vector. Taking the first steps in the renormalization procedure for Lorentz violating theories we arrive to acceptable small corrections allowing to set the bound .
Autores: Reyes, C. M., Ossandón, S., Reyes, C.
Journal: Physics Letters B
Journal Volume: 746
Journal Page: 190–193
Tipo de publicación: ISI
Fecha de publicación: 2015
Topics: Higher-order operators, Lorentz violations, QED extension
URL de la publicación: http://www.sciencedirect.com/science/article/pii/S0370269315003433