Dyons near the transition temperature in lattice QCD

We study the topological structure of QCD by cluster analysis. The fermionic topological charge density is constructed from low-lying modes of the overlap Dirac operator for three types of temporal boundary conditions for the fermion field. This provides the possibility of marking all three dyon con...

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Bibliographic Details
Published in:Physical review. D 2016-04, Vol.93 (7), Article 074508
Main Authors: Bornyakov, V. G., Ilgenfritz, E.-M., Martemyanov, B. V., Müller-Preussker, M.
Format: Article
Language:English
Subjects:
Charge density
Clusters
Constituents
Correlation
Fermions
Gravitation
Quantum chromodynamics
Topology
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Summary:We study the topological structure of QCD by cluster analysis. The fermionic topological charge density is constructed from low-lying modes of the overlap Dirac operator for three types of temporal boundary conditions for the fermion field. This provides the possibility of marking all three dyon constituents of Kraan-van Baal-Lee-Lu (KvBLL) calorons in the gluonic fields. The gluonic topological charge density appears in the overimproved gradient flow process stopped at the moment when it maximally matches the fermionic topological charge density. This corresponds to the smearing of gluonic fields up to the scale set by dyon size. The timelike Abelian monopoles and specific KvBLL pattern of the Polyakov line are correlated with topological clusters.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.93.074508