The Vortex Structure of SU(2) Calorons

Abstract

We reveal the center vortex content of SU(2) calorons and ensembles of them. We use Laplacian Center Gauge as well as Maximal Center Gauges to show that the vortex in a single caloron consists of two parts. The first one connects the constituent dyons of the caloron (which are monopoles in Laplacian Abelian Gauge) and extends in time. The second part is predominantly spatial, encloses one of the dyons and can be related to the twist in the caloron gauge field. This part depends strongly on the caloron holonomy and degenerates to a plane when the holonomy is maximally nontrivial, i.e. when the asymptotic Polyakov loop is traceless. Correspondingly, we find the spatial vortices in caloron ensembles to percolate in this case. This finding fits perfectly in the confinement scenario of vortices and shows that calorons are suitable to facilitate the vortex confinement mechanism.

21 pages, 20 figures

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• Coherent center domains in SU(3) gluodynamics and their percolation at T_c
• Center vortex model for the infrared sector of SU(3) Yang-Mills theory: Topological susceptibility
• Topology across the finite temperature transition studied by overimproved cooling in gluodynamics and QCD
• The Myriad Uses of Instantons
• Confining dyon gas with finite-volume effects under control
• Confinement from semiclassical gluon fields in SU(2) gauge theory
• Topological zero modes at nonzero chemical potential
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Electric charge catalysis by magnetic fields and a nontrivial holonomy
• The far field limit profile functions of two overlapped dyons