拓扑物体在去限制相中的双音图象
The dyonic picture of topological objects in the deconfined phase
摘要：
在淬火SU（2）Yang-Mills理论的解禁闭阶段，反周期边界条件下重叠Dirac算子本征模的谱和局域化性质强烈依赖于平均Polyakov环$<L>$的符号.对于$<L> > 0$的间隙出现，只有少数，高度本地化的拓扑零和近零模式分离的其余部分的频谱。代替间隙，对于$<L> < 0$，观察到相对离域的近零模式的高谱密度。在正的$<L>$系综中，当费米子边界条件改变时，谱也出现同样的差异。我们认为，这种效果和近零模式的其他属性可以解释通过非对称性和不同丰度的双子和反双子-拓扑对象也已知出现，但在一个对称的形式，在限制阶段在$T < T_c$作为成分的calorons与最大的非平凡holonomy。
英文摘要：
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.
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