Synchrotron Radiation in the Standard Model Extension

TL;DR

This paper derives exact solutions for an electron in a magnetic field considering Lorentz invariance violation within the Standard Model Extension, revealing potential observable asymmetries in synchrotron radiation due to non-invariant effects.

Contribution

It provides the first exact solutions of the Dirac equation under Lorentz violation in a magnetic field and analyzes their impact on synchrotron radiation characteristics.

Findings

Asymmetry in the angular distribution of radiation.

Non-conservation of transversal electron polarization.

Potential observable effects of Lorentz non-invariance.

Abstract

We obtain a system of exact solutions of the Dirac equation for an electron moving in a constant homogeneous external magnetic field with account of its vacuum magnetic moment and assumed Lorentz invariance violation in the minimal CPT-odd form in the framework of the Standard Model Extension. Using these solutions, characteristics of the particle synchrotron radiation are calculated, and possible observable effects caused by the Lorentz non-invariant interaction are described. We demonstrate that the angular distribution of the radiation has specific asymmetry, which can be explained as a consequence of non-conservation of transversal electron polarization in the presence of a background Lorentz non-invariant condensate field.