Radiation Reaction in Non-commutative Electrodynamics

TL;DR

This paper investigates how noncommutative spacetime modifies the radiation reaction force on an accelerating charge, revealing small corrections and analyzing classical issues like pre-acceleration and runaway solutions.

Contribution

It derives an expression for radiation reaction in noncommutative electrodynamics and examines its effects on classical problems and specific oscillatory motions.

Findings

Noncommutative corrections are small but present in radiation reaction.

The Abraham-Lorentz equation retains pre-acceleration and runaway issues in noncommutative spacetime.

Application to harmonic oscillations demonstrates modified radiation reaction behavior.

Abstract

We study the radiation reaction acting on an accelerating charge moving in noncommutative spacetime and obtain an expression for it. Radiation reaction, due to a nonrelativistic point charge, is found to receive a small noncommutative correction term. The Abraham-Lorentz equation for a point charge in noncommutative spacetime suffers from the pre-acceleration and the runaway problems. We explore as an application the radiation reaction experienced by a charge which undergoes harmonic oscillations in a noncommutative plane.