Phase Structure and Nonperturbative States in Three-Dimensional Adjoint Higgs Model

TL;DR

This paper investigates the phase structure and nonperturbative states of the 3D adjoint Higgs model by relating it to the 2D sine-Gordon model, revealing detailed thermodynamic and confinement properties.

Contribution

It introduces a reduction of the 3D adjoint Higgs model to the 2D sine-Gordon model, enabling detailed analysis of phase transitions and nonperturbative phenomena.

Findings

Polyakov loop correlators linked to sine-Gordon soliton operators

Temperature dependence of string tension analyzed using exact sine-Gordon results

Constructed the complete phase diagram including symmetry restoration at high temperature

Abstract

The thermodynamics of 3d adjoint Higgs model is considered. We study the properties of the Polyakov loop correlators and the critical behavior at the deconfinement phase transition. Our main tool is a reduction to the 2d sine-Gordon model. The Polyakov loops appear to be connected with the soliton operators in it. The known exact results in the sine-Gordon theory allow us to study in detail the temperature dependence of the string tension, as well as to get some information about a nonperturbative dynamics in the confinement phase. We also consider the symmetry restoration at high temperature which makes it possible to construct the phase diagram of the model completely.