Moving point charge as a soliton in nonlinear electrodynamics
High Energy Physics - Theory
2016-04-26 v2
Abstract
The field of a moving pointlike charge is determined in nonlinear local electrodynamics. As a model Lagrangian for the latter we take the one whose nonlinearity is the Euler-Heisenberg Lagrangian of quantum electrodynamics truncated at the leading term of its expansion in powers of the first field invariant. The total energy of the field produced by a point charge is finite in that model; thereby its field configuration is a soliton. We define a finite energy-momentum vector of this field configuration to demonstrate that its components satisfy the standard mechanical relation characteristic of a free moving massive particle.
Cite
@article{arxiv.1509.06401,
title = {Moving point charge as a soliton in nonlinear electrodynamics},
author = {D. M. Gitman and A. E. Shabad and A. A. Shishmarev},
journal= {arXiv preprint arXiv:1509.06401},
year = {2016}
}
Comments
13 pages, corrected, Appendix 1 is removed to be published separately