Radiation from an Oscillating Dipole in the Presence of Photon-Sector CPT and Lorentz Violation

TL;DR

This paper investigates electromagnetic radiation from an oscillating dipole within a CPT- and Lorentz-violating framework, revealing that at lowest orders, classical emission formulas remain unaffected despite complex underlying modifications.

Contribution

It provides a detailed analysis of dipole radiation in a Lorentz-violating model, showing that classical emission formulas are preserved at lowest order despite nonperturbative effects.

Findings

No modifications to Larmor radiation formulas at lowest nontrivial order.

Complex nonperturbative structures in energy-momentum are identified.

Vacuum-birefringent effects are evaluated in the modified model.

Abstract

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.