Finite and divergent parts of the self-force of a point charge from its spherically averaged self-field
arXiv:2008.13233 · doi:10.1016/S0034-4877(21)00043-4
Abstract
The electromagnetic self-force of a point charge moving arbitrarily on a rectilinear trajectory is calculated by averaging its retarded electric self-field over a sphere of infinitesimal radius centered on the charge's present position. The finite part of the self-force obtained is the well-established relativistic radiation reaction, while its divergent part implies the pre-relativistic longitudinal electromagnetic mass of Abraham.
Typos corrected, some very small stylistic changes; the version as accepted by Rep Math Phys