Existence of the Solution for the 't Hooft-Polyakov Monopole
J. Bryce McLeod, Chie Bing Wang
TL;DR
This paper provides a rigorous mathematical proof for the existence of static, spherically symmetric magnetic monopole solutions in the 't Hooft-Polyakov model using a 2D-shooting method.
Contribution
It introduces a novel mathematical proof demonstrating the existence of monopole solutions in the 't Hooft-Polyakov model.
Findings
Existence of monopole solutions established mathematically.
Application of 2D-shooting method to gauge theory equations.
Provides a foundation for further analytical studies of monopoles.
Abstract
In this paper we give a mathematical proof of the existence of the time independent and spherically symmetric solution to the 't Hooft-Polyakov model of magnetic monopole by using 2D-shooting method.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Quantum Chromodynamics and Particle Interactions · Spectral Theory in Mathematical Physics