Entanglement entropy from entanglement contour: higher dimensions
Entanglement entropy from entanglement contour: higher dimensions
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DOI：
10.21468/scipostphyscore.5.2.020
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发表时间：
2019-05
影响因子：
3.6
通讯作者：
Muxin Han;Qiang Wen
中科院分区：
文献类型：
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作者：
Muxin Han;Qiang Wen
研究了三维及高维量子场论中的纠缠轮廓和部分纠缠熵。在几何调节器的作用下，从PEE的某一极限计算纠缠熵。在纠缠轮廓的背景下，我们对几何调节器进行了分类，研究了它们与紫外调节器的区别。此外，对于共形场理论（CFTs）中的球面区域，我们发现了UV与几何截止之间的确切关系，澄清了先前文献中的一些微妙之处。我们澄清了高维PEE的加性线性组合（ALC）建议的一个微妙之处。在排除一类固定的局部短距离相关的情况下，ALC方案中的子集纠缠熵都应被评估为PEE的极限。与二维构型不同，天真地堵住用紫外截止计算的纠缠熵将破坏ALC提议的有效性。导出了超平面上一般维cft在真空状态下的球区、环空和球壳的纠缠轮廓函数。
We study the entanglement contour and partial entanglement entropy (PEE) in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated from a certain limit of the PEE with a geometric regulator. In the context of the entanglement contour, we classify the geometric regulators, study their difference from the UV regulators. Furthermore, for spherical regions in conformal field theories (CFTs) we find the exact relation between the UV and geometric cutoff, which clarifies some subtle points in the previous literature. We clarify a subtle point of the additive linear combination (ALC) proposal for PEE in higher dimensions. The subset entanglement entropies in the ALC proposal should all be evaluated as a limit of the PEE while excluding a fixed class of local-short-distance correlation. Unlike the 2-dimensional configurations, naively plugging the entanglement entropy calculated with a UV cutoff will spoil the validity of the ALC proposal. We derive the entanglement contour function for spherical regions, annuli and spherical shells in the vacuum state of general-dimensional CFTs on a hyperplane.