Confining dyon gas with finite-volume effects under control

Bruckmann, Falk and Dinter, Simon and Ilgenfritz, Ernst-Michael and Maier, Benjamin and Mueller-Preussker, Michael and Wagner, Marc (2012) Confining dyon gas with finite-volume effects under control. PHYSICAL REVIEW D, 85 (3): 034502. ISSN 2470-0010, 2470-0029

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: BPS MONOPOLES; INSTANTONS; CONFINEMENT; TOPOLOGY;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 19 May 2020 08:46
Last Modified: 19 May 2020 08:46
URI: https://pred.uni-regensburg.de/id/eprint/19237

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