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arXiv · 1509.06401

Moving point charge as a soliton in nonlinear electrodynamics

D. M. Gitman·A. E. Shabad·A. A. Shishmarev
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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.

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D. M. Gitman, A. E. Shabad, A. A. Shishmarev. 2015-09-21. Moving point charge as a soliton in nonlinear electrodynamics. https://arxiv.org/abs/1509.06401

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