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The dyonic picture of topological objects in the deconfined phase | | V. G. Bornyakov
; E.-M. Ilgenfritz
; B. V. Martemyanov
; M. Muller-Preussker
; | | Date: |
27 Sep 2008 | | 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, $<L>$. For $<L> > 0$ 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 $<L> < 0$ a high spectral density of relatively
delocalized near-zero modes is observed. In an ensemble of positive $<L>$, 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. | | Source: | arXiv, 0809.2142 | | Services: | Forum | Review | PDF | Favorites | |
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