Holographic quantum distances and replica trick

被引：0

作者：

Zi-Qing Xiao

Run-Qiu Yang

机构：

[1] Tianjin University,Center for Joint Quantum Studies and Department of Physics, School of Science

来源：

Journal of High Energy Physics | / 2023卷

关键词：

AdS-CFT Correspondence; Gauge-Gravity Correspondence; Black Holes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper gives concrete examples to exhibit how to use the replica trick to calculate the quantum (quasi-)distances holographically. First, we consider the fidelity and relative entropy between thermal states that are dual to the Schwarzschild-AdS black holes. Then we generalize our method into the RN-AdS black holes by adding a U(1) gauge field. We also investigate the fidelity between states excited by scalar operator in probe limit. In this case, it is surprising that the fidelity in standard quantization will suffer from new UV divergence though the usual holographic renormalization has been applied. We call for deep understanding for such divergence in the future. We also discover a holographic method to check whether the density matrices of two holographic states are commutative.

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