Genuine Dyons in Born-Infeld Electrodynamics

TL;DR

This paper investigates magnetic monopoles in Born-Infeld electrodynamics, revealing the existence of point-like dyons with unique regularity and behavior, while confirming the Dirac quantization condition remains valid.

Contribution

It demonstrates the emergence of point-like dyons in Born-Infeld theory and clarifies their distinction from similar objects in recent D-brane studies.

Findings

Radial electric monopole field is regular at r→0.

Behavior of electric field changes with magnetic monopole presence.

Dirac quantization condition remains valid in BI theory.

Abstract

Study of magnetic monopoles in the original version of Born-Infeld (BI) electrodynamics is performed. It then is realized that interesting new physics emerge and they include exotic behavior of radial electric monopole field such as its regularity as $r\to 0$ and its changing behavior with the absence or presence of the radial magnetic monopole field. This last point has been interpreted as the manifestation of the existence of point-like dyons in abelian BI theory. Two pieces of clear evidences in favor of this dyon interpretation are provided. It is also demonstrated that despite these unique features having no analogues in standard Maxwell theory, the cherished Dirac quantisation condition remains unchanged. Lastly, comments are given concerning that dyons found here in the original version of BI electrodynamics should be distinguished from the ones with the same name or BIons being studied in the recent literature on D-brane physics.