Dyonic picture of topological objects in the deconfined phase
Dyonic picture of topological objects in the deconfined phase
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DOI：
10.1103/physrevd.79.034506
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发表时间：
2009-02-01
影响因子：
5
通讯作者：
Mueller-Preussker, M.
中科院分区：
文献类型：
--
作者：
Bornyakov, V. G.;Ilgenfritz, E. -M.;Mueller-Preussker, M.
在猝灭 SU(2) Yang-Mills 理论的解约束阶段，具有反周期边界条件的重叠狄拉克算子的本征模的谱和局域化特性强烈依赖于平均 Polyakov 环的符号 < L >。对于< L >> 0，出现间隙，仅少数高度局域化的拓扑零和近零模式与光谱的其余部分分开。对于 < L >< 0，观察到相对离域的近零模式的高谱密度，而不是间隙。在正<L>的系综中，在费米子边界条件的变化下会出现相同的光谱差异。我们认为，这种效应和近零模式的其他特性可以通过不对称特性和不同丰度的动力子和反动力子拓扑物体来解释，然而，已知它们也以对称形式出现在 T < T-c 的限制相中，作为具有最大非平凡完整的卡罗子的组成部分。
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 a 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.