A non Abelian effective model for ensembles of magnetic defects in QCD(3)

TL;DR

This paper develops a non-Abelian effective model for SU(2) QCD in three dimensions, exploring how magnetic defects like vortices and monopoles influence different phases of the theory.

Contribution

It introduces a novel non-Abelian model incorporating vortex and monopole dynamics to analyze phase structures in 3D QCD.

Findings

Identification of phases characterized by vortex proliferation

Demonstration of monopole-vortex pairing mechanisms

Insights into confinement-related phenomena in 3D QCD

Abstract

We construct a non Abelian model for SU(2) QCD in Euclidean three-dimensional spacetime and study its different phases. The model contains a center vortex sector coupled to a dual effective field encoding information about how the vortices are paired in the ensemble. The possible phases in parameter space are interpreted in terms of the proliferation of either closed center vortices or closed chains, where the endpoints of open vortices are attached in pairs to monopole-like defects.