Interaction Energy of `t Hooft-Polyakov Monopoles

TL;DR

This paper numerically investigates how the energies of axially symmetric `t Hooft-Polyakov monopoles with charges 2 and 3 depend on the Higgs self-coupling, confirming a purely repulsive interaction between like monopoles.

Contribution

It provides a detailed numerical analysis of monopole energies and interaction behaviors for higher charges, extending understanding beyond the basic charge-1 case.

Findings

Energy per unit charge is higher for charge-2 monopoles than charge-1.

Interaction energy between like monopoles is always repulsive.

No attractive phase observed in monopole interactions.

Abstract

The dependence of the energies of axially symmetric monopoles of magnetic charges 2 and 3, on the Higgs self-interaction coupling constant, is studied numerically. Comparing the energy per unit topological charge of the charge-2 monopole with the energy of the spherically symmetric charge-1 monopole, we confirm that there is only a repulsive phase in the interaction energy between like monopoles