New Monopoles in Non-Abelian Gauge Theories

TL;DR

This paper introduces new types of monopoles in non-Abelian gauge theories, including the Standard Model, Georgi-Glashow model, and QCD, highlighting their construction, topology, and potential implications.

Contribution

It identifies and constructs new monopoles in various gauge theories, clarifying their topological origins and physical significance.

Findings

Discovery of two types of monopoles in the Standard Model.

Identification of the Wu-Yang monopole in the Georgi-Glashow model.

Introduction of the chromon-dressed Wu-Yang monopole in QCD.

Abstract

The monopoles play important roles in physics. In this work we discuss the new monopoles in non-Abelian gauge theories, the standard model, the Georgi-Glashow model, and QCD. The standard model has two totally different types of monopoles, the Cho-Maison type monopoles which have the weak boson dressing and the electromagnetically neutral magnetic monopoles (the naked one and the one with the W boson dressing) which carries the neutral magnetic charge $4\pi/\bae$. The Georgi-Glashow model has a new monopole, the Wu-Yang monopole which has the W boson dressing, in addition to the well known 'tHooft-Polyakov monopole. And QCD has a new monopole, the Wu-Yang monopole which has the chromon dressing. We show how to construct the new monopoles and clarify the origin of the topology of the new monopoles. The new monopoles could have deep implications not just in high energy physics but also in low energy physics.