Dirac Quantization of t'Hooft-Polyakov Monopole: Axial Hamiltonization

TL;DR

This paper performs Hamiltonian analysis of the t'Hooft-Polyakov monopole in axial gauge, emphasizing the Higgs vacuum condition's dual role, to better understand monopole quantization outside the core region.

Contribution

It introduces a novel Hamiltonization approach using the Higgs vacuum condition as both a strong and weak equation, differing from traditional degree of freedom reduction methods.

Findings

Hamiltonization in axial gauge achieved for monopole outside core

Higgs vacuum condition used as both strong and weak equation

Provides insights into monopole quantization outside the core

Abstract

In this article, we carry out the Hamiltonization in the axial gauge, of the t'Hooft-Polyakov monopole field outside the localized region, which represents the monopole's core. One feature of the treatment here, is using the Higgs vacuum condition as both strong and weak equation instead of using it in the degree of freedom reduction.