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, Landé--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.

40 pages, 3 figures. Revised and improved version

References in corpus (1)

• The force on a point charge source of the classical electromagnetic field

Cited by in corpus (3)

• Maxwell-Lorentz without self interactions: Conservation of energy and momentum
• A study of the radiation-reaction on a point charge that moves along a constant applied electric field in an electromagnetic Bopp-Landé-Thomas-Podolsky vacuum
• On the Joint Evolution Problem for a Scalar Field and its Singularity