Vortex solution in 2+1 dimensional Yang-Mills theory at high temperatures

TL;DR

This paper discovers a new stable vortex solution in high-temperature 2+1 dimensional Yang-Mills theory, where the A_0 component acts like a Higgs field, potentially impacting understanding of gauge theories at finite temperature.

Contribution

It introduces a novel stable vortex solution of the Abrikosov-Nielsen-Olesen type in high-temperature Yang-Mills theory, linking gauge field components to Higgs-like behavior.

Findings

Identification of a new stable vortex solution

Analysis of vortex properties at high temperatures

Discussion of implications for gauge theories

Abstract

At high temperatures the A_0 component of the Yang--Mills field plays the role of the Higgs field, and the 1-loop potential V(A_0) plays the role of the Higgs potential. We find a new stable vortex solution of the Abrikosov-Nielsen-Olesen type, and discuss its properties and possible implications.