Asymptotic analysis of the Skyrmed monopole

TL;DR

This paper investigates a modified Georgi Glashow model with a higher derivative term, analyzing spherically symmetric monopole solutions that tend to finite energy configurations as the coupling increases, using both analytic and numerical methods.

Contribution

It introduces and analyzes a Skyrme-augmented YMH model supporting monopole bound states, providing asymptotic behavior insights through combined analytic and numerical approaches.

Findings

Solutions converge to finite energy configurations at high Skyrme coupling.

Analytic and numerical methods complement each other in the analysis.

Supports the existence of monopole bound states in the modified model.

Abstract

We consider a variant of the Georgi Glashow model in the BPS limit, augmented by a higher derivative Skyrme-like term, which is the simplest YMH model that can support monopole bound states. The spherically symetric solutions are studied with a combination of analytic and numerical techniques, which strongly suggest that the solutions converge to a finite energy configuration in the limit of infinite coupling of the Skyrme-like term.