Modified nonlinear model of arcsin-electrodynamics

TL;DR

This paper introduces a modified nonlinear arcsin-electrodynamics model with two parameters, analyzing its effects on Coulomb law, vacuum birefringence, and the electromagnetic properties of point charges, with implications for electron mass and symmetry breaking.

Contribution

It proposes a new two-parameter nonlinear arcsin-electrodynamics model and explores its physical implications, including finite electric fields, vacuum birefringence, and symmetry properties.

Findings

Corrections to Coulomb law are derived.

Vacuum birefringence occurs in external magnetic fields.

Electric field of point charges is finite at the origin.

Abstract

A new modified model of nonlinear arcsin-electrodynamics with two parameters is proposed and analyzed. We obtain the corrections to the Coulomb law. The effect of vacuum birefringence takes place when the external constant magnetic field is present. We calculate indices of refraction for two perpendicular polarizations of electromagnetic waves and estimate bounds on the parameter $\gamma$ from the BMV and PVLAS experiments. It is shown that the electric field of a point-like charge is finite at the origin. We calculate the finite static electric energy of point-like particles and demonstrate that the electron mass can have the pure electromagnetic nature. The symmetrical Belinfante energy-momentum tensor and dilatation current are found. We show that the dilatation symmetry and dual symmetry are broken in the model suggested. We have investigated the gauge covariant quantization of the nonlinear electrodynamics fields as well as the gauge fixing approach based on Dirac's brackets.