Radiation from an oscillating dipole in the presence of photon-sector $CPT$ and Lorentz violation

We examine one of the standard loci for studying electromagnetic wave emission—the radiation from an oscillating electric dipole—in a model in which the electromagnetic sector is modified to include novel $CPT$- and Lorentz-violating propagation effects involving a preferred axial vector background. We evaluate the vacuum-birefringent radiation fields, including nonperturbative terms where appropriate. In general, the energy momentum carried by the fields in this model is known to have a complicated nonperturbative structure, which cannot be captured by naive power-series expansions in the components of the preferred background vector. However, we nevertheless find that at the lowest nontrivial orders, there are actually no modifications to the Larmor expressions for the energy-momentum emission.