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The topological structure of lattice gluodynamics is studied at intermediateresolution scale in the deconfining phase with the help of a cluster analysis.UV filtered topological charge densities are determined from a fixed number oflow-lying eigenmodes of the overlap Dirac operator with three types of temporalboundary conditions applied to the valence quark fields. This method usuallyallows to find all three distinguished (anti)dyon constituents in the gaugefield of Kraan-van Baal-Lee-Lu (anti)caloron solutions. The clustering of thethree topological charge densities in Monte Carlo generated configurations isthen used to mark the positions of anticipated (anti)dyons of the correspondingtype. In order to support this interpretation, inside these clusters, we searchalso for time-like Abelian monopole currents (defined in the maximally Abeliangauge) as well as for local holonomies with at least two approximatelydegenerated eigenvalues. Our results support the view that light dyon-antidyonpairs - in contrast to the heavy (anti)caloron dyon constituents - contributedominantly to thermal Yang-Mills fields in the deconfinement phase. This paperis dedicated to the memory of Pierre van Baal and Dmitri Igorevich Diakonov whohave influenced our work very much.

Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles