Some views on monopoles and confinement

TL;DR

This paper discusses the monopole condensation mechanism of confinement in gauge theories, analyzing monopole singularities, their gauge dependence, and comparing theoretical predictions with numerical data.

Contribution

It provides a detailed analysis of monopole singularities in abelian projection and relates them to 't Hooft-Polyakov monopoles, offering insights into confinement mechanisms.

Findings

Monopole singularities have a natural interpretation as 't Hooft-Polyakov monopoles.

The gauge dependence of monopole singularities is clarified.

Numerical data supports the monopole condensation picture of confinement.

Abstract

Aspects of the monopole condensation picture of confinement are discussed. First, the nature of the monopole singularities in the abelian projection approach is analysed. Their apparent gauge dependence is shown to have a natural interpretation in terms of 't~Hooft-Polyakov-like monopoles in euclidean SU(2) gauge theory. Next, the results and predictions of a realization of confinement through condensation of such monopoles are summarized and compared with numerical data.