Dyons near the transition temperature in lattice QCD

Abstract

We study the topological structure of QCD by cluster analysis. The fermionic topological charge density is constructed from low lying modes of overlap Dirac operator for three types of temporal boundary conditions for fermion field. This gives the possibility to mark all three dyon constitutents of KvBLL caloron in gluonic fields. The gluonic topological charge density is appearing in the process of overimproved gradient flow process stopped at the moment when it maximally matches the fermionic topological charge density. This corresponds to the smearing of gluonic fields up to the scale set by dyon size. The time-like Abelian monopoles and specific KvBLL pattern of Polyakov line correlate with topological clusters.

arXiv comment12 pages, 6 figures. Corrected HUB preprint number, restored missing temperature scale, changed subsections of section III. arXiv admin note: text overlap with arXiv:1410.4632

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• The Instanton-Dyon Liquid Model V: Twisted Light Quarks
• Towards a semi-classical description of QCD vacuum around $T_c$
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Recent progress in understanding deconfinement and chiral restoration phase transitions
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD