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.

12 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

References in corpus (6)

• Confining ensemble of dyons
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• An SU(2) KvBLL caloron gas model and confinement
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Classical Limits of Scalar and Tensor Gauge Operators Based on the Overlap Dirac Matrix

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• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Adjoint quarks and fermionic boundary conditions
• Gapless Dirac Spectrum at High Temperature
• Propagators and topology
• Numerical evidence for fractional topological objects in SU(3) gauge theory