Application of Ewald's Method for Efficient Summation of Dyon Long-Range Potentials

Autor:	Falk Bruckmann, Marc Wagner, Simon Dinter, Benjamin F. Maier, Michael Müller-Preussker, Ernst-Michael Ilgenfritz
Rok vydání:	2013
Předmět:	Quark Physics Class (set theory) Particle physics Finite volume method Solid-state physics FOS: Physical sciences High Energy Physics - Phenomenology High Energy Physics::Theory Range (mathematics) High Energy Physics - Phenomenology (hep-ph) Dyon Finite set Mathematical physics
Zdroj:	Proceedings of Xth Quark Confinement and the Hadron Spectrum — PoS(Confinement X).
DOI:	10.22323/1.171.0051
Popis:	We study a model of dyons for SU(2) Yang-Mills theory at finite temperature T < T_c, in particular its ability to generate a confining force between a static quark antiquark pair. The interaction between dyons corresponds to a long-range 1/r potential, which in naive treatments with a finite number of dyons typically gives rise to severe finite volume effects. To avoid such effects we apply the so-called Ewald method, which has its origin in solid state 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. We explain the technicalities of Ewald's method and outline how the method can be applied to a wider class of 1/r^p long-range potentials. 8 pages, 4 figures, contribution to conference "Confinement X"
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91c14393150d2c3246db3e30ffde036c https://doi.org/10.22323/1.171.0051 Zobrazit plný text záznamu