We revisit the instanton-dyon liquid model in the confined phase by using a nonlinear 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 is also discussed. We also formulate the hypernetted chain (HNC) 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.

• Received 11 April 2018

DOI:https://doi.org/10.1103/PhysRevD.98.014023

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society