Two-Monopole Systems and the Formation of Non-Abelian Clouds

TL;DR

This paper analyzes the energy density and interactions of two fundamental monopoles in SU(3) and Sp(4) theories, exploring their behavior near the massless limit and elucidating the formation of non-Abelian clouds.

Contribution

It provides an analytic expression for energy density, computes the moduli space metric coefficient, and investigates monopole interactions and non-Abelian cloud formation.

Findings

Verified special limits of energy density expressions

Computed the internal moduli space metric coefficient

Proposed a detailed picture of non-Abelian cloud formation

Abstract

We study the energy density of two distinct fundamental monopoles in SU(3) and Sp(4) theories with an arbitrary mass ratio. Several special limits of the general result are checked and verified. Based on the analytic expression of energy density the coefficient of the internal part of the moduli space metric is also computed, which gives it a nice "mechanical" interpretation. We then investigate the interaction energy density for both cases. By analyzing the contour of the zero interaction energy density we propose a detailed picture of what happens when one gets close to the massless limit. The study of the interaction energy density also sheds light on the formation of the non-Abelian cloud.