高温QCD局域化的Ising-Anderson模型
An Ising-Anderson model of localisation in high-temperature QCD
摘要：
基于$T_c$上半有序组态中局域Polyakov线的空间涨落，讨论了高温格点量子色动力学中导致低Dirac本征模局域化的一种可能机制.这种机制提供了一个定性的解释依赖于本地化的温度和晶格间距，也与虚化学势的QCD的相图。为了测试这种机制的可行性，我们提出了一个三维有效的，类安德森模型，模仿的Polyakov线上的夸克的效果。对角线，现场的障碍是由一个三维的伊辛式自旋模型与连续自旋。我们的数值结果表明，局域模确实存在于有序相的伊辛模型，从而支持所提出的机制，局域化QCD。
英文摘要：
We discuss a possible mechanism leading to localisation of the low-lying Dirac eigenmodes in high-temperature lattice QCD, based on the spatial fluctuations of the local Polyakov lines in the partially ordered configurations above $T_c$. This mechanism provides a qualitative explanation of the dependence of localisation on the temperature and on the lattice spacing, and also of the phase diagram of QCD with an imaginary chemical potential. To test the viability of this mechanism we propose a three-dimensional effective, Anderson-like model, mimicking the effect of the Polyakov lines on the quarks. The diagonal, on-site disorder is governed by a three-dimensional Ising-like spin model with continuous spins. Our numerical results show that localised modes are indeed present in the ordered phase of the Ising model, thus supporting the proposed mechanism for localisation in QCD.
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