Structure and Dynamics of Monopoles in Axial-Gauge QCD

TL;DR

This paper analyzes the complex singularity structures of monopoles in axial-gauge QCD, revealing their topological and dynamical properties and their implications for the theory's finite action configurations.

Contribution

It introduces a detailed analysis of monopole singularities, including charged and transverse components, and relates monopole charges to topological charge in axial-gauge QCD.

Findings

Monopole singularities include charged and transverse components.

Finite action is maintained despite complex singularities.

Monopole entropy increases as temperature decreases.

Abstract

An investigation of singular fields emerging in the process of transforming QCD to the axial gauge is presented. The structure of the singularities is analyzed. It is shown that apart from well known neutral magnetic monopole singularities, the field configurations also exhibit singularities in their charged and transverse components. This complex singularity structure guarantees finite non-Abelian field strength and thus finite action if expressed in terms of gauge fixed fields. A relation between the monopole charges of singular field configurations and their topological charge is derived. Qualitative dynamical aspects of the role of the monopoles are discussed. It is argued that the entropy associated with monopoles increases with decreasing temperature and that the coupling to quantum fluctuations favors monopole-antimonopole binding.