Massive Monopoles and Massless Monopole Clouds

TL;DR

This paper explores magnetic monopole solutions in gauge theories with unbroken non-Abelian symmetry, revealing that massless monopoles manifest as non-Abelian field clouds around massive monopoles, enriching the understanding of monopole dynamics.

Contribution

It introduces the concept of massless monopole clouds as a novel manifestation of monopoles in non-Abelian gauge theories, expanding the understanding of monopole solutions and their low-energy dynamics.

Findings

Massless monopoles appear as non-Abelian field clouds.

Moduli space approximation reveals new degrees of freedom.

Solutions are explained and described in detail.

Abstract

Magnetic monopole solutions naturally arise in the context of spontaneously broken gauge theories. When the unbroken symmetry includes a non-Abelian subgroup, investigation of the low-energy monopole dynamics by means of the moduli space approximation reveals degrees of freedom that can be attributed to massless monopoles. These do not correspond to distinct solitons, but instead are manifested as a cloud of non-Abelian field surrounding one or more massive monopoles. In these talks I explain how one is led to these solutions and then describe them in some detail.