# Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory

## TL;DR

This paper presents a statistical ensemble model of correlated instanton-dyons in SU(2) Yang-Mills theory that quantitatively describes the confinement phase transition and matches lattice data.

## Contribution

It introduces a novel correlated instanton-dyon ensemble model that accurately predicts the temperature dependence of the confinement order parameter in SU(2) Yang-Mills theory.

## Key findings

- Model reproduces lattice data for the order parameter's temperature dependence.
- Characterizes the short-range interactions crucial for the ensemble's properties.
- Chromo-magnetic charge density and spatial correlations align with known lattice and phenomenological results.

## Abstract

We study the confinement phase transition in $SU(2)$ Yang-Mills theory, based on a statistical ensemble model of correlated instanton-dyons. We show for the first time that such a model provides a quantitative description, in light of the lattice data, for the temperature dependence of the order parameter. We characterize the short-range interaction which plays a crucial role for the properties of such ensemble. The chromo-magnetic charge density as well as the spatial correlations is found to be consistent with known lattice and phenomenological information.