类QCD理论中的安德森局域化
Anderson localization in QCD-like theories
摘要：
本文综述了格点上类QCD理论Dirac算符谱中Anderson跃迁的研究现状。在SU（2）Yang-Mills理论中，在重叠和交错价费米子的情况下，以及在Nf=2+1 QCD中，在交错夸克的情况下，都发现了位于谱低端的局域模。我们画一个类比之间的过渡从本地化到离域模式的狄拉克光谱和电子系统中的安德森过渡。QCD跃迁与相应的Anderson模型中的跃迁属于同一普适类。我们还推测了这一相变与高温QCD的可能物理关联以及不同费米子含量的类QCD模型中可能存在的有限温度相变。
英文摘要：
We review the present status of the Anderson transition in the spectrum of the Dirac operator of QCD-like theories on the lattice. Localized modes at the low-end of the spectrum have been found in SU(2) Yang-Mills theory with overlap and staggered valence fermions as well as in Nf=2+1 QCD with staggered quarks. We draw an analogy between the transition from localized to delocalized modes in the Dirac spectrum and the Anderson transition in electronic systems. The QCD transition turns out to be in the same universality class as the transition in the corresponding Anderson model. We also speculate on the possible physical relevance of this transition to QCD at high temperature and the possible finite temperature phase transition in QCD-like models with different fermion contents.
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