Generation of multipole moments by external field in Born-Infeld non-linear electrodynamics

TL;DR

This paper investigates how external fields induce multipole moments in Born-Infeld non-linear electrodynamics, calculating polarizability coefficients and discussing physical implications of these effects.

Contribution

It introduces a method to compute multipole moments generated by external fields in Born-Infeld theory, including explicit formulas for polarizability coefficients for arbitrary l-pole moments.

Findings

Polarizability coefficient for each l-pole moment is derived.

The l-th coefficient scales with the (2l+1)-th power of a characteristic length.

Physical implications of induced multipole moments are discussed.

Abstract

The mechanism for the generation of multipole moments due to an external field is presented for the Born-Infeld charged particle. The 'polarizability coefficient' for arbitrary l-pole moment is calculated. The l-th coefficient is proportional to the (2l+1)-th power of the characteristic length in the Born-Infeld theory. Physical implications are discussed.