The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum

Abstract

We discuss the topological phenomena in the QCD-like theories with variable number of fundamental $N_f$ or adjoint $N_a$ fermions, focusing on the temperatures at or above the critical value $T_c$ of chiral symmetry restoration. Nonzero average of the Polyakov line, or holonomy, splits instantons into (anti)selfdual dyons, and we study both bosonic and fermionic interactions between them. The high temperature phase is a dilute gas of "molecules" made of $2N_c$ dyons, neutral in topological, electric and magnetic charges. At intermediate temperatures the diluteness reaches some critical level at which chiral symmetry gets restored: we explain why it is very different for the fundamental and adjoint fermions. At high density the ensemble is a strongly coupled liquid with crystal-like short range order: we speculate about its structure at small and large $N_f$. We finally explaine certain lattice observations and suggest a number of further lattice tests.

31 pages, 16. figures. V3 version has corrected type-os and minor changes to the text

References in corpus (13)

• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Strongly coupled plasma with electric and magnetic charges
• Abelian duality, confinement, and chiral symmetry breaking in QCD(adj)
• Novel phase in SU(3) lattice gauge theory with 12 light fermions
• Seiberg-Witten and "Polyakov-like" magnetic bion confinements are continuously connected
• Dense Holographic QCD in the Wigner-Seitz Approximation
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Chiral phase transition at finite temperature and conformal dynamics in large Nf QCD
• The dyonic picture of topological objects in the deconfined phase
• Adjoint fermion zero-modes for SU(N) calorons
• Confining dyon gas with finite-volume effects under control
• Adjoint quarks and fermionic boundary conditions
• Monopole condensation in two-flavour Adjoint QCD

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• Light Quarks in the Screened Dyon-Anti-Dyon Coulomb Liquid Model II
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• Holonomy potential and confinement from a simple model of the gauge topology
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
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• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Instanton-dyon Ensembles III: Exotic Quark Flavors
• Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model
• On Chiral Symmetry Breaking, Topology and Confinement
• Spin Physics through QCD Instantons
• Dense Instanton-Dyon Liquid Model: Diagrammatics
• Topological zero modes at nonzero chemical potential
• Hadronic Correlation Functions in the Random Instanton-dyon Ensemble
• Vacuum and thermal fluctuation energies of a soliton at finite temperatures