Dimensional Reduction and Non-perturbative generation of magnetic mass in non-abelian gauge theory at finite temperature

TL;DR

This paper demonstrates a non-perturbative generation of magnetic mass in high-temperature non-abelian gauge theory, linking it to monopole condensation and matching lattice simulation results.

Contribution

It introduces a method for dimensional reduction and shows how magnetic mass arises non-perturbatively from monopole condensation in SU(2) gauge theory.

Findings

Magnetic mass of 0.2719 g^2 T generated non-perturbatively.

Spatial Wilson loop string tension matches lattice results.

Magnetic sector exhibits similar temperature dependence as lattice simulations.

Abstract

A non-perturbative mass of $0.2719 g^2 T$ is generated for the magnetic sector of the $SU(2)$ gauge theory at high temperature due to the condensation of Polyakov \cite{Pol} monopole and antimonopole which form a magnetic glue ball. String tension for the spatial wilson loop is calculated which is of the same order of magnitude and has same temperature dependence as obtained from lattice simulation.