Notes on Born-Infeld-type electrodynamics

TL;DR

This paper introduces a new three-parameter nonlinear electrodynamics model encompassing Born-Infeld and exponential electrodynamics, analyzing vacuum birefringence, electric field singularities, Coulomb law corrections, and finite electrostatic energy.

Contribution

It presents a novel nonlinear electrodynamics model with specific properties and explores its physical implications, including vacuum birefringence and finite charge energy.

Findings

No electric field singularity at point charges

Vacuum birefringence occurs in the model

Electrostatic energy of charges is finite

Abstract

We propose a new model of nonlinear electrodynamics with three parameters. Born-Infeld electrodynamics and exponential electrodynamics are particular cases of this model. The phenomenon of vacuum birefringence is studied. We show that there is not singularity of the electric field at the origin of point-like charged particles. The corrections to Coulomb's law at $r\rightarrow\infty$ are obtained. We calculate the total electrostatic energy of charges for different parameters of the model which is finite.