Partition Function of Interacting Calorons Ensemble

TL;DR

This paper introduces a method to compute the partition function of interacting calorons, emphasizing caloron-Dirac string interactions and proposing a new approach to evaluate Polyakov loop correlations.

Contribution

It extends existing models by incorporating caloron interactions and applying Ewald's method for correlation function calculations.

Findings

The Diakonov-Petrov metric effectively describes caloron interactions.

Ewald's method is suitable for computing Polyakov loop correlations in caloron ensembles.

The proposed approach improves understanding of caloron ensemble thermodynamics.

Abstract

We present a method for computing the partition function of a caloron ensemble taking into account the interaction of calorons. We focus on caloron-Dirac string interaction and show that the metric that Diakonov and Petrov offered works well in the limit where this interaction occurs. We suggest computing the correlation function of two polyakov loops by applying Ewald's method.