Classical solutions with nontrivial holonomy in SU(2) LGT at T \ne 0

TL;DR

This paper investigates classical solutions with nontrivial holonomy in SU(2) lattice gauge theory at finite temperature, revealing different configurations in confinement and deconfinement phases.

Contribution

It introduces a method to generate and analyze classical solutions with nontrivial holonomy in SU(2) gauge fields at finite temperature, comparing boundary conditions.

Findings

In the confinement phase, a mixture of calorons and topological charge lumps is observed.

Classical configurations are similar for different boundary conditions below T_c.

The study characterizes phase-dependent classical solutions in SU(2) lattice gauge theory.

Abstract

We generate SU(2) lattice gauge fields at finite temperature and cool them in order to characterize the two phases by the occurrence of specific classical solutions.We apply two kinds of spatial boundary conditions: fixed holonomy and standard periodic b.c. For T < T_c our findings concerning classical configurations semi-quantitatively agree for both types of boundary conditions. We find in the confinement phase a mixture of undissociated calorons with lumps of positive or negative half-integer topological charges.