Dense Instanton-Dyon Liquid Model: Diagrammatics

TL;DR

This paper develops a refined theoretical model for the dense instanton-dyon liquid in QCD, employing advanced resummation techniques to improve understanding of its structure, correlations, and phase behavior at high density and low temperature.

Contribution

It introduces a non-linear Debye-Huckel resummation and hypernetted chain approach for the instanton-dyon liquid, providing new insights into its organization and correlations.

Findings

Rapid convergence of the resummation methods.

Center symmetry achieved at high density.

Transition between different dyon configurations at low temperature.

Abstract

We revisit the instanton-dyon liquid model in the confined phase by using a non-linear Debye-Huckel (DH) resummation for the Coulomb interactions induced by the moduli, followed by a cluster expansion. The organization is shown to rapidly converge and yields center symmetry at high density. The dependence of these results on a finite vacuum angle are also discussed. We also formulate the hypernetted chain (HCN) resummation for the dense instanton-dyon liquid and use it to estimate the liquid pair correlation functions in the DH limit. At very low temperature, the dense limit interpolates between chains and rings of instanton-anti-instanton-dyons and a bcc crystal, with strong topological and magnetic correlations.