# Entanglement renormalization and integral geometry

Xing Huang, Feng Li Lin*

*此作品的通信作者

8 引文 斯高帕斯（Scopus）

## 摘要

Abstract: We revisit the applications of integral geometry in AdS3 and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive entanglement density. From the renormalization of the entanglement contour, we can holographically understand the operations of disentangler and isometry in multi-scale entanglement renormalization ansatz. Furthermore, a renormalization group equation of the long-distance entanglement contour is then derived. We then generalize this integral geometric construction to higher dimensions and in particular demonstrate how it works in bulk space of homogeneity and isotropy.

原文 英語 81 1-35 35 Journal of High Energy Physics 2015 12 https://doi.org/10.1007/JHEP12(2015)081 已發佈 - 2015 12月 1

• 核能與高能物理