Recent progress in understanding deconfinement and chiral restoration phase transitions

Abstract

Paradigme shift in gauge topology, from instantons to their constituents -- instanton-dyons -- has recently lead to very significant advances. Like instantons, they have fermionic zero modes, and their collectivization at sufficiently high density explains the chiral symmetry breaking. Unlike instantons, these objects have electric and magnetic charges. Their back reaction on the mean value of the Polyakov line (holonomy) allows to explain the deconfinement transition. The talk summarizes recent works on the dyon ensemble, done in the mean field approximation (MFA), and also by direct numerical statistical simulation. Introduction of non-trivial quark periodicity conditions leads to drastic changes in both deconfinement and chiral transitions. In particulaly, in the so called Z(N_c)-QCD model the former gets much stronger, while the latter does not seem to occur at all.

XIIth Quark Confinement and the Hadron Spectrum, 28 Aug to 4 Sep 2016

References in corpus (10)

• Thermal Monopole Condensation and Confinement in finite temperature Yang-Mills Theories
• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The quarkynic phase and the Z_{Nc} symmetry
• Dyons near the transition temperature in lattice QCD
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Finite-temperature phase transition of $N_f=3$ QCD with exact center symmetry

Cited by in corpus (2)

• Image-processing the topological charge density in the CP(N-1) model
• Instanton-dyon ensembles reproduce deconfinement and chiral restoration phase transitions