The 't Hooft-Polyakov monopole in the geometric theory of defects

TL;DR

This paper reinterprets the 't Hooft-Polyakov monopole within the geometric theory of defects, suggesting it could be observed in solids with continuous distributions of dislocations and disclinations.

Contribution

It provides a new physical interpretation of the monopole solution as a defect structure in solid materials.

Findings

Computed densities of Burgers and Frank vectors for the monopole

Proposed the possibility of observing monopoles in solid materials

Linked monopole solutions to defect distributions in solids

Abstract

The 't Hooft-Polyakov monopole solution in Yang-Mills theory is given new physical interpretation in the geometric theory of defects. It describes solids with continuous distribution of dislocations and disclinations. The corresponding densities of Burgers and Frank vectors are computed. It means that the 't Hooft-Polyakov monopole can be seen, probably, in solids.