Radiatively induced Lorentz-violating operator of mass dimension five in QED

Abstract

The first higher derivative term of the photon sector of Lorentz-violating QED, with an operator of mass dimension $d=5$, is radiatively induced from the fermion sector, which contains a derivative term with the dimensionless coefficient ${g}^{\ensuremath{\lambda}\ensuremath{\mu}\ensuremath{\nu}}$. The calculation is performed perturbatively in the coefficient for Lorentz violation, and, due to the fact that the contributions are quadratically divergent, we adopt dimensional regularization.