Calorons and BPS monopoles with non-trivial holonomy in the confinement phase of SU(2) gluodynamics

TL;DR

This paper provides numerical evidence for superpositions of Kraan-van Baal caloron solutions with non-trivial holonomy in SU(2) gauge theory at finite temperature, highlighting their potential role in the semi-classical approximation of the partition function.

Contribution

It demonstrates the existence of caloron and BPS monopole superpositions with non-trivial holonomy in the confinement phase using lattice gauge theory.

Findings

Evidence for caloron and monopole superpositions at T ≤ T_c

Non-trivial holonomy configurations are observed

Implications for semi-classical approaches in gauge theories

Abstract

With the help of the cooling method applied to SU(2) lattice gauge theory at non-zero $T \le T_c$ we present numerical evidence for the existence of superpositions of Kraan-van Baal caloron (or BPS monopole pair) solutions with non-trivial holonomy, which might constitute an important contribution to the semi-classical approximation of the partition function.