arXiv 2110.048332021-10hep-latcond-mat.dis-nnhep-thnucl-th

QCD中Anderson金属-临界转变

Anderson Metal-to-Critical Transition in QCD

Andrei Alexandru, Ivan Horváth

备注：: 5 pages, 5 figures; v2: minor improvements, published version
发表信息：: Physics Letters B 833 (2022) 137370
DOI：: 10.1016/j.physletb.2022.137370

摘要：

过去曾提出过一种基于Anderson型金属-绝缘体相变类比的热QCD相变图象。在这幅图中，低$T$热态类似于具有丰富和扩展的深红外（IR）狄拉克模式的金属，而高$T$态类似于具有耗尽的IR模式并位于迁移率边缘$λ_{\text A} > 0$以下的绝缘体.在这里，我们认为，虽然$λ_{\text A}$存在于QCD中，但在这样的类比中，高$T$态不是绝缘体。相反，它是由于在$λ_{\text IR}=0$处的新的奇异移动性边缘而产生的临界状态。这种新的流动性边缘出现在过渡到最近提出的IR阶段。作为这样一个金属的关键部分的情况下，我们提出的证据，使用纯胶QCD的深红外狄拉克模式在IR阶段延伸到任意长的距离。这与我们先前的建议一致，即红外相位支持红外中的尺度不变性。我们讨论了安德森方面在这一热制度的作用，并强调规范场拓扑结构和无序的组合在塑造其红外物理中起着关键作用。我们的结论传达的狄拉克光谱的非解析性的结构。

英文摘要：

A picture of thermal QCD phase change based on the analogy with metal-to-insulator transition of Anderson type was proposed in the past. In this picture, a low-$T$ thermal state is akin to a metal with deeply infrared (IR) Dirac modes abundant and extended, while a high-$T$ state is akin to an insulator with IR modes depleted and localized below a mobility edge $λ_{\text A} > 0$. Here we argue that, while $λ_{\text A}$ exists in QCD, a high-$T$ state is not an insulator in such an analogy. Rather, it is a critical state arising due to a new singular mobility edge at $λ_{\text IR}=0$. This new mobility edge appears upon the transition into the recently proposed IR phase. As a key part of such a metal-to-critical scenario, we present evidence using pure-glue QCD that deeply infrared Dirac modes in the IR phase extend to arbitrarily long distances. This is consistent with our previous suggestion that the IR phase supports scale invariance in the infrared. We discuss the role of Anderson-like aspects in this thermal regime and emphasize that the combination of gauge field topology and disorder plays a key role in shaping its IR physics. Our conclusions are conveyed by the structure of Dirac spectral non-analyticities.

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