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arXiv · 1111.3158

Confining dyon gas with finite-volume effects under control

Falk Bruckmann·Simon Dinter·Ernst-Michael Ilgenfritz·Benjamin Maier·Michael Muller-Preussker·Marc Wagner
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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.

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Falk Bruckmann, Simon Dinter, Ernst-Michael Ilgenfritz, Benjamin Maier, Michael Muller-Preussker, Marc Wagner. 2011-11-14. Confining dyon gas with finite-volume effects under control. https://doi.org/10.1103/physrevd.85.034502

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