SU(2) lattice gauge theory at non-zero temperature with fixed holonomy boundary condition

TL;DR

This paper investigates SU(2) lattice gauge theory at finite temperature with fixed boundary conditions, focusing on classical solutions like calorons, to understand their properties and implications.

Contribution

It introduces a study of SU(2) lattice gauge theory at non-zero temperature with fixed holonomy boundary conditions, highlighting the search for classical solutions such as calorons.

Findings

Identification of dissociated calorons in the lattice setup

Analysis of classical solutions with fixed holonomy boundary conditions

Insights into the structure of gauge fields at finite temperature

Abstract

We study SU(2) lattice gauge theory at $T>0$ in a finite box with fixed holonomy value at the spatial boundary. We search for (approximate) classical solutions of the lattice field equations and find in particular the dissociated calorons recently discussed by van Baal and collaborators.