The dyonic picture of topological objects in the deconfined phase

Abstract

In the deconfinement phase of quenched SU(2) Yang-Mills theory the spectrum and localization properties of the eigenmodes of the overlap Dirac operator with antiperiodic boundary conditions are strongly dependent on the sign of the average Polyakov loop, $<L>$. For $<L>>0$ a gap appears with only few, highly localized topological zero and near-zero modes separated from the rest of the spectrum. Instead of a gap, for $<L><0$ a high spectral density of relatively delocalized near-zero modes is observed. In an ensemble of positive $<L>$, the same difference of the spectrum appears under a change of fermionic boundary conditions. We argue that this effect and other properties of near-zero modes can be explained through the asymmetric properties and the different abundance of dyons and antidyons -- topological objects also known to appear, however in a symmetric form, in the confinement phase at $T<T_c$ as constituents of calorons with maximally nontrivial holonomy.

arXiv comment12 pages, 7 figures. Clarifying changes in the introduction, no results changed; data added, 1 figure added, last changes to match article in Phys.Rev. D

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Cited by in corpus (26)

• Instanton constituents and fermionic zero modes in twisted CP(n) models
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Holonomy potential and confinement from a simple model of the gauge topology
• Fermionic boundary conditions and the finite temperature transition of QCD
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• Dyons near the transition temperature in lattice QCD
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Adjoint fermion zero-modes for SU(N) calorons
• The Vortex Structure of SU(2) Calorons
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Confining dyon gas with finite-volume effects under control
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Adjoint quarks and fermionic boundary conditions
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Dyons and Roberge - Weiss transition in lattice QCD
• Thermal Abelian monopoles as selfdual dyons
• Symmetry Crossover Protecting Chirality in Dirac Spectra
• Gapless Dirac Spectrum at High Temperature
• Topological zero modes at nonzero chemical potential
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Propagators and topology
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Cooling study of Dirac sheets in SU(3) lattice gauge theory below T_c