Monopoles, Dyons and Theta Term in Dirac-Born-Infeld Theory

TL;DR

This paper explores dyon solutions within SU(2) Dirac-Born-Infeld gauge theories, analyzing their properties, existence conditions, and the impact of theta-like terms, with numerical comparisons to classical dyons.

Contribution

It introduces new dyon solutions in DBI theories, examines the critical parameters for their existence, and extends the Witten charge formula to these non-linear models.

Findings

Existence of a critical Born-Infeld parameter value below which dyons do not exist.

Numerical solutions differ from standard Julia-Zee dyons under DBI modifications.

Witten's dyon charge formula remains valid in DBI theories.

Abstract

We present dyon solutions to an SU(2) Dirac-Born-Infeld (DBI) gauge theory coupled to a Higgs triplet. We consider different non-Abelian extensions of the DBI action and study the resulting solutions numerically, comparing them with the standard Julia-Zee dyons. We discuss the existence of a critical value of $\beta$, the Born-Infeld absolute field parameter, below which the solution ceases to exist. We also analyse the effect of modifying the DBI action so as to include the analogous of the $\theta$ term, showing that Witten formula for the dyon charge also holds in DBI theories.