
TL;DR
This paper introduces a new nonlinear electrodynamics model with one or two parameters, demonstrating finite electric fields at point charges and analyzing symmetry properties and energy characteristics.
Contribution
It proposes a novel nonlinear electrodynamics model with finite electric fields and explores its symmetry breaking and energy properties.
Findings
Electric field of point charge is finite at the origin
Static electric energy of point charges is finite
Dilatation and dual symmetries are broken in the model
Abstract
A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is the finiteness of the static electric energy of point-like charged particle. We obtain the canonical and symmetrical Belinfante energy-momentum tensors and dilatation currents. It is demonstrated that the dilatation symmetry and dual symmetry are broken in the models suggested. We have calculated the static electric energy of point-like particles.
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