Zusammenfassung
As an approach to describe the long-range properties of non-Abelian gauge theories at nonzero temperature T < T-c, we consider a noninteracting ensemble of dyons (magnetic monopoles) with nontrivial 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 ...
Zusammenfassung
As an approach to describe the long-range properties of non-Abelian gauge theories at nonzero temperature T < T-c, we consider a noninteracting ensemble of dyons (magnetic monopoles) with nontrivial 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.