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23 April 2024 |
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Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles | | V.G. Bornyakov
; E.-M. Ilgenfritz
; B.V. Martemyanov
; M. Muller-Preussker
; | | Date: |
17 Oct 2014 | | Abstract: | The topological structure of lattice gluodynamics is studied at intermediate
resolution scale in the deconfining phase with the help of a cluster analysis.
UV filtered topological charge densities are determined from a fixed number of
low-lying eigenmodes of the overlap Dirac operator with three types of temporal
boundary conditions applied to the valence quark fields. This method usually
allows to find all three distinguished (anti)dyon constituents in the gauge
field of Kraan-van Baal-Lee-Lu (anti)caloron solutions. The clustering of the
three topological charge densities in Monte Carlo generated configurations is
then used to mark the positions of anticipated (anti)dyons of the corresponding
type. In order to support this interpretation, inside these clusters, we search
also for time-like Abelian monopole currents (defined in the maximally Abelian
gauge) as well as for local holonomies with at least two approximately
degenerated eigenvalues. Our results support the view that light dyon-antidyon
pairs - in contrast to the heavy (anti)caloron dyon constituents - contribute
dominantly to thermal Yang-Mills fields in the deconfinement phase. This paper
is dedicated to the memory of Pierre van Baal and Dmitri Igorevich Diakonov who
have influenced our work very much. | | Source: | arXiv, 1410.4632 | | Services: | Forum | Review | PDF | Favorites | |
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