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25 April 2024
 
  » arxiv » 1309.7850

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Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
E.-M. Ilgenfritz ; B.V. Martemyanov ; M. Muller-Preussker ;
Date 30 Sep 2013
AbstractTopological objects of SU(3) gluodynamics are studied near the transition temperature with the help of zero and near-zero modes of the overlap Dirac operator. We construct UV filtered topological charge densities for three versions of temporal boundary conditions applied to this operator, for which zero modes are known to be located on corresponding three types of constituent dyons (antidyons) in the reference case of analytical (anti)caloron solutions. The clusters of the three topological charge densities mark the positions of dyons and antidyons which are also present in equilibrium (Monte Carlo) gluonic fields. We classify them either as constituents of nondissociated (anti)calorons or as constituents of (anti)dyon pairs or as isolated (anti)dyons. The pattern of the Polyakov loop is found in these clusters after a limited number of overimproved cooling steps and resembles predictions from analytical caloron solutions.
Source arXiv, 1309.7850
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