Self force in 2+1 electrodynamics
Classical Physics
2009-07-20 v1 Mathematical Physics
math.MP
Abstract
The radiation reaction problem for an electric charge moving in flat space-time of three dimensions is discussed. The divergences stemming from the pointness of the particle are studied. A consistent regularization procedure is proposed, which exploits the Poincar\'e invariance of the theory. Effective equation of motion of radiating charge in an external electromagnetic field is obtained via the consideration of energy-momentum and angular momentum conservation. This equation includes the effect of the particle's own field. The radiation reaction is determined by the Lorentz force of point-like charge acting upon itself plus a non-local term which provides finiteness of the self-action.
Cite
@article{arxiv.0907.3029,
title = {Self force in 2+1 electrodynamics},
author = {Yurij Yaremko},
journal= {arXiv preprint arXiv:0907.3029},
year = {2009}
}
Comments
20 pages, 3 figures