Finite Temperature Effect on Wilson Loop Mechanism

TL;DR

This paper investigates how finite temperature influences the Wilson loop mechanism in gauge theories by analyzing vacuum energy splitting and quantum effects at zero and high temperatures, finding no gauge symmetry breakdown.

Contribution

It provides the first detailed analysis of finite temperature effects on the Wilson loop mechanism across various compactification spaces.

Findings

No gauge symmetry breakdown at zero or high temperature.

Quantum effects from scalar and gauge fields are computed.

Vacuum energy splitting is evaluated for different N values.

Abstract

We evaluate the energy splitting of vacua appearing in the gauge theory in the space $M_4\times S^N/Z_2$ ($N=2,3,4,5,6$ and $7$). One-loop quantum effects which come from scalar and gauge fields are considered. We calculate them at zero temperature as well as in high-temperature limit. We find that in these situations there is no breakdown of the gauge symmetry.