论文标题
$ u（1）$量表理论中的伪熵
Pseudo Entropy in $U(1)$ gauge theory
论文作者
论文摘要
我们在$ d = 4 $ dimension中研究伪熵熵的新概括（纠缠熵的新概括）的特性。我们通过位于不同欧几里得时代的田间强度的不同组成部分来制备激发状态，该磁场的作用在真空上。我们计算伪rényi熵与基态的rényi熵之间的差异，并观察到差异在子系统边界附近发生了很大变化，并消失了远离边界。在子系统的边界附近，基态的伪恩尼熵与rényi熵之间的差异取决于保持操作员的两个欧几里得时代的比率。首先，我们开发了评估$ d = 4 $尺寸的共形标量字段伪熵的方法。我们由两个操作员准备两个状态，其固定的保形重量作用在真空上，并观察到伪rényi熵和基态rényi熵之间的差异仅在子系统边界附近发生变化。我们还表明，伪纳尼熵的合适分析延续导致评估淬灭过程中Rényi熵的实时演变。
We study the properties of pseudo entropy, a new generalization of entanglement entropy, in free Maxwell field theory in $d = 4$ dimension. We prepare excited states by the different components of the field strengths located at different Euclidean times acting on the vacuum. We compute the difference between the pseudo Rényi entropy and the Rényi entropy of the ground state and observe that the difference changes significantly near the boundary of the subsystems and vanishes far away from the boundary. Near the boundary of the subsystems, the difference between pseudo Rényi entropy and Rényi entropy of the ground state depends on the ratio of the two Euclidean times where the operators are kept. To begin with, we develop the method to evaluate pseudo entropy of conformal scalar field in $d=4$ dimension. We prepare two states by two operators with fixed conformal weight acting on the vacuum and observe that the difference between pseudo Rényi entropy and ground state Rényi entropy changes only near the boundary of the subsystems. We also show that a suitable analytical continuation of pseudo Rényi entropy leads to the evaluation of real-time evolution of Rényi entropy during quenches.
