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T: Fachverband Teilchenphysik

T 23: Gittereichtheorie

T 23.3: Talk

Thursday, March 1, 2012, 17:15–17:30, VG 3.101

Confining dyon gas with finite-volume effects under control — •Benjamin Maier¹, Falk Bruckmann², Simon Dinter^1,3, Ernst-Michael Ilgenfritz^1,4, Michael Müller-Preußker¹, and Marc Wagner^1,5 — ¹Humboldt-Universität zu Berlin, Institut für Physik, Newtonstr. 15, D-12489 Berlin, Germany — ²Universität Regensburg, Institut für Theoretische Physik, D-93040 Regensburg, Germany — ³NIC, DESY Zeuthen, Platanenallee 6, D-15738 Zeuthen, Germany — ⁴Joint Institute for Nuclear Research, VBLHEP, 141980 Dubna, Russia — ⁵Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany

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.