Karlsruhe 2011 – scientific programme
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T: Fachverband Teilchenphysik
T 23: Gittereichtheorie I
T 23.2: Talk
Monday, March 28, 2011, 17:00–17:15, 30.23: 10-1
Simulation of dyon ensembles in SU(2) Yang-Mills theory — •Benjamin Maier1, Falk Bruckmann2, Simon Dinter1, Ernst-Michael Ilgenfritz1,3, Michael Müller-Preußker1, and Marc Wagner1 — 1Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, D-12489 Berlin, Germany — 2Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 3Fakultät für Physik, Universität Bielefeld, D-33501 Bielefeld, Germany
We study a model of dyons for SU(2) Yang-Mills theory, in particular its ability to generate a confining force between a static quark antiquark pair.
The interaction between dyons corresponds to a long range potential, which in a naive treatment with a finite number of dyons gives rise to severe finite volume effects.
To avoid such effects we apply the so-called Ewald method, which has its origin in plasma physics.
The basic idea of Ewald's method is to consider a finite number of dyons inside a finite cubic volume and enforce periodicity of this volume.
In this talk we apply Ewalds method to the logarithmic dyon potential, which is then used to simulate an ensemble of dyons by means of Monte Carlo methods.
We also present preliminary results regarding the static quark antiquark potential within this model.