Hosotani mechanism in the "color"-singlet plasma

TL;DR

This paper explores how the Hosotani mechanism influences gauge symmetry breaking in a color-singlet plasma, revealing that the critical temperature for symmetry breaking rises with temperature in confined volumes.

Contribution

It provides a novel toy-model analysis of the Hosotani mechanism at finite temperature, focusing on the impact of volume and temperature on gauge symmetry breaking.

Findings

Critical temperature increases with temperature in smaller volumes.

The study offers insights into gauge symmetry behavior in fermion-gauge boson plasmas.

The analysis enhances understanding of the Hosotani mechanism in thermal environments.

Abstract

By projecting the partition function on the "color"-singlet state, we investigate the Hosotani mechanism in the fermion-gauge boson plasma. The present toy-model analysis of the one-loop effective potential at finite temperature shows that the critical temperature of gauge symmetry breaking increases at higher temperature in the smaller volume.