Cambiaso, Mauro, Lehnert, Ralf and Potting, Robertus (2012), "Massive photons and Lorentz violation", PHYSICAL REVIEW D, 85, 8.
Abstract: All quadratic translation- and gauge-invariant photon operators for
Lorentz breakdown are included into the Stueckelberg Lagrangian for
massive photons in a generalized R-xi gauge. The corresponding
dispersion relation and tree-level propagator are determined exactly,
and some leading-order results are derived. The question of how to
include such Lorentz-violating effects into a perturbative quantum-field
expansion is addressed. Applications of these results within
Lorentz-breaking quantum-field theories include the regularization of
infrared divergences as well as the free propagation of massive vector
bosons.