Regularizations of point charges, the Li\'{e}nard-Wiechert potential, and the electron self-energy
Mathematical Physics
2026-04-02 v1 math.MP
Abstract
We apply Colombeau-type regularization to the electromagnetic field of a point-charge and show how the Li\'{e}nard-Wiechert potential can be derived from a generalized function based on the geometry of Minkowski space. Furthermore, for a charged particle in its rest frame, we discuss the electric monopole, magnetic dipole, electron singularity, and self-energy.
Keywords
Cite
@article{arxiv.2604.01004,
title = {Regularizations of point charges, the Li\'{e}nard-Wiechert potential, and the electron self-energy},
author = {Guenther Hoermann and Nathalie Tassotti},
journal= {arXiv preprint arXiv:2604.01004},
year = {2026}
}