Confining dyon gas with finite-volume effects under control

Bruckmann F, Dinter S, Ilgenfritz E-M, Maier B, Müller-Preussker M, Wagner M. Confining dyon gas with finite-volume effects under control. Physical Review D. 2012;85(3): 34502.As an approach to describe the long-range properties of non-Abelian gaugetheories at non-zero temperature $T < T_c$, we consider a non-interactingensemble of dyons (magnetic monopoles) with non-trivial holonomy. We showanalytically, that the quark-antiquark free energy from the Polyakov loopcorrelator grows linearly with the distance, and how the string tension scaleswith the dyon density. In numerical treatments, the long-range tails of thedyon fields cause severe finite-volume effects. Therefore, we demonstrate theapplication of Ewald's summation method to this system. Finite-volume effectsare shown to be under control, which is a crucial requirement for numericalstudies of interacting dyon ensembles