Born-Infeld corrections to Coulombian interactions

TL;DR

This paper investigates how Born-Infeld nonlinear electrodynamics modifies Coulomb interactions between point charges, revealing that the force between equal charges diminishes to zero at close proximity.

Contribution

It provides an analytical study of electrostatic fields in Born-Infeld theory using complex mappings, highlighting nonlinear effects on charge interactions.

Findings

Force between equal charges vanishes at short distances

Born-Infeld corrections alter Coulomb potential

Electrostatic fields modeled via complex plane mapping

Abstract

Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent by the Coulombian interaction between two charges in Born-Infeld theory are computed. Remarkably, the force between equal charges goes to zero as they approach each other.