论文标题
量子场理论及其对拓扑问题的异常
Quantum Field Theory and its Anomalies for Topological Matter
论文作者
论文摘要
拓扑以多种形式进入量子场理论（QFT）：在非亚洲仪表理论中最重要的一种，是QCD中$θ$真空的识别。这种联系的一个非常相关的方面是通过手性和保形QFT异常的现象。已经意识到，包括拓扑绝缘子和Weyl半学的一类材料也表现出异常的现象，这些现象是导致几种异国情调现象的原因，例如边缘电流的存在，在扰动下弹性和杂质散射。另一个例子来自这些材料在热应力和机械应力下的响应函数，可以使用一般相对论中应力能量张量的相关函数进行。在这种情况下，共形异常起着重要作用。我们简要说明了这种对应关系的一些显着特征，以及描述可能解释这种拓扑作用的远程相互作用的有效动作。
Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the $θ$ vacuum in QCD. A very relevant aspect of this connection is through the phenomenon of chiral and conformal qft anomalies. It has been realized that a class of materials, comprising topological insulators and Weyl semimetals, also exhibit the phenomenon of anomalies, which are responsible for several exotic phenomena, such as the presence of edge currents, resilient under perturbations and scattering by impurities. Another example comes from the response functions of these materials under thermal and mechanical stresses, that may be performed using correlation functions of stress energy tensors in General Relativity. In this case the conformal anomaly plays an important role. We briefly illustrate some salient features of this correspondence, and the effective action describing the long-range interactions that may account for such topological effects.
