Confining dyon gas with finite-volume effects under control
arXiv:1111.3158 · doi:10.1103/PhysRevD.85.034502
Abstract
As an approach to describe the long-range properties of non-Abelian gauge theories at non-zero temperature T < T_c, we consider a non-interacting ensemble of dyons (magnetic monopoles) with non-trivial holonomy. We show analytically, that the quark-antiquark free energy from the Polyakov loop correlator grows linearly with the distance, and how the string tension scales with the dyon density. In numerical treatments, the long-range tails of the dyon fields cause severe finite-volume effects. Therefore, we demonstrate the application of Ewald's summation method to this system. Finite-volume effects are shown to be under control, which is a crucial requirement for numerical studies of interacting dyon ensembles.
23 pages, 4 figures; minor modifications
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- Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
- The abelian confinement mechanism revisited: new aspects of the Georgi-Glashow model
- Confinement in non-Abelian lattice gauge theory via persistent homology
- Dyons and Roberge - Weiss transition in lattice QCD
- Topological zero modes at nonzero chemical potential
- Vacuum structure and string tension in Yang-Mills dimeron ensembles
- Partition Function of Interacting Calorons Ensemble
- The far field limit profile functions of two overlapped dyons