Complexity-action of subregions with corners
Complexity-action of subregions with corners
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DOI：
10.1007/jhep03(2019)062
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发表时间：
2018-09
影响因子：
5.4
通讯作者：
E. Cáceres;Ming Xiao
中科院分区：
文献类型：
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作者：
E. Cáceres;Ming Xiao
在过去对奇异边界区域上全息纠缠熵发散结构的研究中，发现了截止无关系数。这些系数被证明是通用的，并编码重要的场论数据。受这些经验的启发，我们研究了具有角点（扭结）的子区域复杂性作用（CA）的UV发散。我们开发了一个系统的方法来研究所有的发散结构，我们强调，计数器项，恢复零边界上的重新参数化不变性在简化结果，使它们更加透明的起着至关重要的作用。我们发现，一个一般形式的子区域CA包含一部分依赖于零生成器规范化和一部分是独立的。前者包括体积贡献以及面积贡献。我们评论了纠缠熵的起源，并指出它的存在构成了两种计算子区域复杂性的处方之间的强大差异（-作用与-作用）。卷）。我们还发现了普遍的log δ发散与子区域的扭结特征。得到了与子区域CV结果相似的平坦角极限。
In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field theory data. Inspired by these lessons we study the UV divergences of subregion complexity-action (CA) in a region with corner (kink). We develop a systematic approach to study all the divergence structures, and we emphasize that the counter term that restores reparameterization invariance on the null boundaries plays a crucial role in simplifying the results and rendering them more transparent. We find that a general form of subregion CA contains a part dependent on the null generator normalizations and a part that is independent of them. The former includes a volume contribution as well as an area contribution. We comment on the origin of the area term as entanglement entropy, and point out that its presence constitutes a robust difference between the two prescriptions to calculate subregion complexity (-action vs.-volume). We also find universal log δ divergence associated with the kink feature of the subregion. Similar flat angle limit as the subregion-CV result is obtained.