First-order quantum correction to the Larmor radiation from a moving charge in a spatially homogeneous time-dependent electric field

TL;DR

This paper derives a simple approximate formula for the first-order quantum correction to Larmor radiation emitted by a relativistically accelerated charge in a time-dependent electric field, extending previous scalar QED analyses.

Contribution

It generalizes prior work by deriving an approximate quantum correction formula for relativistic charges in homogeneous, time-dependent electric fields.

Findings

Derived a simple approximate formula for quantum correction in relativistic limit.

Extended scalar QED analysis to accelerated charges in time-dependent fields.

Provides insights into quantum effects on radiation from moving charges.

Abstract

First-order quantum correction to the Larmor radiation is investigated on the basis of the scalar QED on a homogeneous background of time-dependent electric field, which is a generalization of a recent work by Higuchi and Walker so as to be extended for an accelerated charged particle in a relativistic motion. We obtain a simple approximate formula for the quantum correction in the limit of the relativistic motion when the direction of the particle motion is parallel to that of the electric field.