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arXiv · 1902.06386

Radiation reaction in higher-order electrodynamics

Alan Baza·Aaron DeLeon·Angel Harb·Vu Hoang·Maria Radosz
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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.

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Alan Baza, Aaron DeLeon, Angel Harb, Vu Hoang, Maria Radosz. 2019-02-18. Radiation reaction in higher-order electrodynamics. https://doi.org/10.1063/5.0042690

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