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Calorons and monopoles from smearedSU(2)lattice fields at nonzero temperature

2006/02/28 by E. -M. Ilgenfritz, E.-M. Ilgenfritz, B. V. Martemyanov +4 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.73.094509

published as Phys.Rev. D73 (2006) 094509 · 11 pages, 7 figures, Paper has been thoroughly revised, 1 section and 1 figure have been added, corresponds to the published version

openalex publication_date 2006/05/24 · arxiv created 2006/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In equilibrium, at finite temperature below and above the deconfining phase transition, we have generated lattice SU(2) gauge fields and have exposed them to smearing in order to investigate the emerging clusters of topological charge. Analyzing in addition the monopole clusters according to the maximally Abelian gauge, we have been able to characterize part of the topological clusters to correspond either to nonstatic calorons or static dyons in the context of Kraan-van Baal caloron solutions with nontrivial holonomy. We show that the relative abundance of these calorons and dyons is changing with temperature and offer an interpretation as dissociation of calorons into dyons with increasing temperature. The profile of the Polyakov loop inside the topological clusters and the (model-dependent) accumulated topological cluster charges support this interpretation. Above the deconfining phase transition light dyons (according to Kraan-van Baal caloron solutions with almost trivial holonomy) become the most abundant topological objects. They are presumably responsible for the magnetic confinement in the deconfined phase.

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