Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature

Abstract

In equilibrium, at finite temperature below and above the deconfining phase transition, we have generated lattice SU(2) gauge fields and have exposed them to smearing in order to investigate the emerging clusters of topological charge. Analysing in addition the monopole clusters according to the maximally Abelian gauge, we have been able to characterize part of the topological clusters to correspond either to non-static calorons or static dyons in the context of Kraan-van Baal caloron solutions with non-trivial holonomy. We show that the relative abundance of these calorons and dyons is changing with temperature and offer an interpretation as dissociation of calorons into dyons with increasing temperature. The profile of the Polyakov loop inside the topological clusters and the (model-dependent) accumulated topological cluster charges support this interpretation. Above the deconfining phase transition light dyons (according to Kraan-van Baal caloron solutions with almost trivial holonomy) become the most abundant topological objects. They are presumably responsible for the magnetic confinement in the deconfined phase.

11 pages, 7 figures, Paper has been thoroughly revised, 1 section and 1 figure have been added, corresponds to the published version

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Cited by in corpus (20)

• An SU(2) KvBLL caloron gas model and confinement
• Holonomy potential and confinement from a simple model of the gauge topology
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The dyonic picture of topological objects in the deconfined phase
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• 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
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Improved superposition schemes for approximate multi-caloron configurations
• Thermal Abelian monopoles as selfdual dyons
• Gluino zero-modes for non-trivial holonomy calorons
• Abelian monopoles in finite temperature lattice SU(2) gluodynamics: first study with improved action
• Topological zero modes at nonzero chemical potential
• Propagators and topology
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Vacuum structure and string tension in Yang-Mills dimeron ensembles
• Cooling study of Dirac sheets in SU(3) lattice gauge theory below T_c