Radiation reaction in higher-order electrodynamics
Abstract
This paper considers the relativistic motion of charged particles coupled with electromagnetic fields in the higher-order theory proposed by Bopp, Land\'e--Thomas, and Podolsky. We rigorously derive a world-line integral expression for the self-force of the charged particle from a distributional equation for the conservation of four-momentum only. This naturally leads to an equation of motion for charged particles that incorporates a history-dependent self-interaction. We show additionally that the same equation of motion follows from a variational principle for retarded fields. The self-force coincides with an expression proposed by Zayats and Gratus--Perlick--Tucker on the basis of an averaging procedure.
Cite
@article{arxiv.1902.06386,
title = {Radiation reaction in higher-order electrodynamics},
author = {Alan Baza and Aaron DeLeon and Angel Harb and Vu Hoang and Maria Radosz},
journal= {arXiv preprint arXiv:1902.06386},
year = {2024}
}
Comments
40 pages, 3 figures. Revised and improved version