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arXiv · 0809.2142

The dyonic picture of topological objects in the deconfined phase

V. G. Bornyakov·E. -M. Ilgenfritz·B. V. Martemyanov·M. Muller-Preussker
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Abstract

In the deconfinement phase of quenched SU(2) Yang-Mills theory the spectrum and localization properties of the eigenmodes of the overlap Dirac operator with antiperiodic boundary conditions are strongly dependent on the sign of the average Polyakov loop, $ $. For $ > 0$ a gap appears with only few, highly localized topological zero and near-zero modes separated from the rest of the spectrum. Instead of a gap, for $ < 0$ a high spectral density of relatively delocalized near-zero modes is observed. In an ensemble of positive $ $, the same difference of the spectrum appears under a change of fermionic boundary conditions. We argue that this effect and other properties of near-zero modes can be explained through the asymmetric properties and the different abundance of dyons and antidyons -- topological objects also known to appear, however in a symmetric form, in the confinement phase at $T < T_c$ as constituents of calorons with maximally nontrivial holonomy.

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V. G. Bornyakov, E. -M. Ilgenfritz, B. V. Martemyanov, M. Muller-Preussker. 2009-03-09. The dyonic picture of topological objects in the deconfined phase. https://doi.org/10.1103/physrevd.79.034506

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