Instanton-dyon ensembles reproduce deconfinement and chiral restoration phase transitions

TL;DR

This paper demonstrates that ensembles of instanton-dyons can reproduce key features of deconfinement and chiral symmetry restoration phase transitions in gauge theories, providing a unified topological framework.

Contribution

It introduces a comprehensive study of instanton-dyon ensembles, showing their role in modeling both deconfinement and chiral transitions, including effects of flavor-dependent phases and modifications in transition orders.

Findings

Instanton-dyon ensembles reproduce deconfinement and chiral transition phenomena.

The nature of phase transitions varies with gauge group and quark flavors, including crossover and first-order transitions.

Correlations between dyons and screening masses are analyzed.

Abstract

Paradigm shift in gauge topology at finite temperatures, from the instantons to their constituents -- instanton-dyons -- has recently lead to studies of their ensembles and very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at sufficiently high density explains the {\em chiral symmetry breaking transition}. Unlike instantons, these objects have electric and magnetic charges. Simulations of the instanton-dyon ensembles have demonstrated that their back reaction on the Polyakov line modifies its potential and generates the {\em deconfinement phase transition}. For the $N_c=2$ gauge theory the transition is second order, for QCD-like theory with $N_c=2$ and two light quark flavors $N_f=2$ both transitions are weak crossovers at happening at about the same condition. Introduction of quark-flavor-dependent periodicity phases (imaginary chemical potentials) leads to drastic changes in both transitions. In particulaly, in the so called $Z(N_c)-QCD$ model the deconfinement transforms to strong first order transition, while the chiral condensate does not disappear at all. The talk will also cover more detailed studies of correlations between the dyons, effective eta' mass and other screening masses.