Confining dyon gas with finite-volume effects under control

Details Confining dyon gas with finite-volume effects under control Confining dyon gas with finite-volume effects under control

2011-11-14

arxiv.org/abs/1111.3158v2

Phys.Rev.D85:034502,2012

Physics

High Energy Physics

High Energy Physics - Phenomenology

23 pages, 4 figures; minor modifications

Scientific paper

10.1103/PhysRevD.85.034502

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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