Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature

Institute for Theoretical and Experimental Physics,B. Cheremushkinskaya 25, Moscow 117259, RussiaIn equilibrium, at finite temperature below and above the deconfining phase transition, we havegenerated lattice SU(2) gauge fields and have exposed them to smearing in order to investigate theemerging clusters of topological charge. Analysing in addition the monopole clusters according tothe maximally Abelian gauge, we have been able to characterize part of the topological clusters tocorrespond either to non-static calorons or static dyons in the context of Kraan-van Baal caloronsolutions with non-trivial holonomy. We show that the relative abundance of these calorons anddyons is changing with temperature and offer an interpretation as dissociation of calorons into dyonswith increasing temperature. The profile of the Polyakov loop inside the topological clusters and the(model-dependent) accumulated topological cluster charges support this interpretation. Above thedeconfining phase transition light dyons (according to Kraan-van Baal caloron solutions with almosttrivial holonomy) become the most abundant topological objects. They are presumably responsiblefor the magnetic confinement in the deconfined phase.