A note on nonlinear electrodynamics

TL;DR

This paper introduces a novel nonlinear electrodynamics model where point charges have finite electric fields at the origin and exhibit birefringence and dichroism under magnetic fields, also predicting charge confinement.

Contribution

It proposes a new nonlinear electrodynamics with unique optical properties and confinement features, differing from Born-Infeld theory.

Findings

Electric field of point charge is finite at the origin.

Birefringence and dichroism occur in external magnetic fields.

Static potential includes a linear confining term.

Abstract

We explore the physical consequences of a new nonlinear electrodynamics, for which the electric field of a point-like charge is finite at the origin, as in the well-known Born-Infeld electrodynamics. However, contrary to the latter, in this new electrodynamics the phenomenon of birefringence and dichroism take place in the presence of external magnetic fields. Subsequently we study the interaction energy, within the framework of the gauge-invariant but path-dependent variables formalism. Interestingly enough, the static potential profile contains a linear potential leading to the confinement of static charges.