Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator

Abstract

Topological objects of $SU(3)$ gluodynamics are studied at the infrared scale near the transition temperature with the help of zero and near-zero modes of the overlap Dirac operator. We construct UV filtered topological charge densities corresponding to three versions of the temporal boundary condition applied to this operator, for which the zero mode is known to be located on corresponding three constituent dyons (antidyons) in the reference case of an analytical (anti)caloron solution. The clustering of the three topological charge densities marks the positions of three types of dyons and antidyons which can therefore be considered as present in equilibrium (Monte Carlo) gluonic fields at the given resolution scale. We classify them either as constituents of nondissociated (anti)calorons or as constituents of (anti)dyon pairs or as isolated (anti)dyons. The pattern of the Polyakov loop describing the centers and the interior of these clusters is observed after a limited number of overimproved cooling steps and resembles the description known from analytical caloron solutions.

12 pages, 9 figures; revised version accepted by Phys. Rev. D

References in corpus (8)

• 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
• The topological structure of SU(2) gluodynamics at T > 0 : an analysis using the Symanzik action and Neuberger overlap fermions
• The dyonic picture of topological objects in the deconfined phase
• Quantitative comparison of filtering methods in lattice QCD
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature

Cited by in corpus (10)

• Study of QCD Phase Diagram with Non-Zero Chiral Chemical Potential
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• Dyons near the transition temperature in lattice QCD
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Dyons and Roberge - Weiss transition in lattice QCD
• Topological susceptibility near $T_c$ in SU(3) gauge theory
• Twist-3 Contributions in Semi-Inclusive DIS with Transversely Polarized Target
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics