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

TL;DR

This paper demonstrates how a higher derivative Lorentz-violating operator of mass dimension five in QED can be generated through quantum corrections from the fermion sector, using perturbative and regularization techniques.

Contribution

It provides the first explicit calculation of a dimension five Lorentz-violating operator in the photon sector induced by fermion sector interactions.

Findings

The operator is radiatively induced from the fermion sector.

The calculation employs dimensional regularization due to divergences.

This work extends understanding of Lorentz violation in quantum electrodynamics.

Abstract

The first higher derivative term of the photon sector of Lorentz-violating QED, with operator of mass dimension $d=5$, is radiatively induced from the fermion sector, in which contains a derivative term with the dimensionless coefficient $g^{\lambda\mu\nu}$. 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.