TL;DR
This paper introduces a new nonlinear electrodynamics model with three parameters, demonstrating phenomena like vacuum birefringence, finite electric field energy, and symmetry breaking, with detailed theoretical analysis and calculations.
Contribution
A novel three-parameter nonlinear electrodynamics model is proposed, analyzing its physical properties and symmetry features, including vacuum birefringence and finite electric energy.
Findings
Vacuum birefringence occurs in the presence of a magnetic field.
Electric field of a point charge is finite at the origin.
Dilatation and dual symmetries are broken in the model.
Abstract
A new model of nonlinear electrodynamics with three parameters is suggested and investigated. It is shown that if the external constant magnetic field presents the phenomenon of vacuum birefringence takes place. The indexes of refraction for two polarizations of electromagnetic waves, parallel and perpendicular to the magnetic induction field are calculated. The electric field of a point-like charge is not singular at the origin and the static electric energy is finite. We have calculated the static electric energy of point-like particles for different parameters of the model. The canonical and symmetrical Belinfante energy-momentum tensors and dilatation current are obtained. We demonstrate that the dilatation symmetry and dual symmetry are broken in the model suggested.
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