The Interaction of Two Dyons in The Near Field Limit

TL;DR

This paper investigates the complex non-linear interaction between two dyons in their near-field region, revealing how their superposition affects their profile functions and breaks spherical symmetry.

Contribution

It introduces a perturbative approach to analyze dyon interactions, showing how non-linearity deforms their profiles and affects symmetry.

Findings

Profile functions depend on the polar angle.

Spherical symmetry is broken in the near-field interaction.

Non-linear terms significantly influence dyon profiles.

Abstract

We study the interaction of two dyons in the region of their cores where they are non-linear and non-Abelian. We assume the superposition of two dyons as a solution of the equation of motion. The terms due to the non-linearity of the strength tensor are considered as the perturbation terms which deforms the profile function of two individual dyons. As a result, the profile function of dyons are obtained to be dependent on the polar angle and the spherical symmetry is lost.