Bi-partite Entanglement Entropy in Massive QFT with a Boundary: the Ising Model
Bi-partite Entanglement Entropy in Massive QFT with a Boundary: the Ising Model
复制标题
有边界的大规模 QFT 中的二分纠缠熵：伊辛模型
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
B. Doyon
中科院分区：
文献类型：
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作者：
O. Castro;B. Doyon
本文给出了具有边界磁场和无限体积的有序态量子伊辛模型的两体纠缠熵的精确无穷级数表达式。这推广和扩展了以前的结果，涉及本作者的二分纠缠熵的可积量子场论，其中利用了推广的形状因子程序的分支点扭曲字段。在边界的情况下，我们隔离在一个普遍的方式的纠缠熵的一部分，这是相关的边界熵引入的阿弗莱克和路德维希，并解释这种关系应该保持在更一般的QFT模型。我们提供了几个一致性检查的有效性，我们的形状因子的结果，特别是，识别的领先紫外线行为的纠缠熵和两点函数的扭曲场在散装理论，在很大程度上的精度，包括高达500形状因子的贡献。
In this paper we give an exact infinite-series expression for the bi-partite entanglement entropy of the quantum Ising model in the ordered regime, both with a boundary magnetic field and in infinite volume. This generalizes and extends previous results involving the present authors for the bi-partite entanglement entropy of integrable quantum field theories, which exploited the generalization of the form factor program to branch-point twist fields. In the boundary case, we isolate in a universal way the part of the entanglement entropy which is related to the boundary entropy introduced by Affleck and Ludwig, and explain how this relation should hold in more general QFT models. We provide several consistency checks for the validity of our form factor results, notably, the identification of the leading ultraviolet behaviour both of the entanglement entropy and of the two-point function of twist fields in the bulk theory, to a great degree of precision by including up to 500 form factor contributions.