论文标题
封闭弦理论中的纠缠熵
Entanglement Entropy in Closed String Theory
论文作者
论文摘要
在局部量子场理论中，由于该区域边界附近的任意短波相关性，区域的纠缠熵是不同的。量子引力波动预计将切断紫外线模式的熵。在此的指导下，我们研究了封闭的弦理论中的纠缠熵。我们根据质量中心的位置对封闭字符串的配置空间进行分解。然后，我们使用副本方法和字符串字段理论计算与此分解相对应的一环rényi分区函数。短波长模式按弦刻度切断，一环纠缠熵是紫外线的。产生正确的单循环真空振幅所需的非平凡路径整合度量是关键作用。
In local quantum field theory, the entanglement entropy of a region is divergent due to the arbitrary short-wavelength correlations near the boundary of the region. Quantum gravitational fluctuations are expected to cut off the entropy of the ultraviolet modes. Guided by this, we study the entanglement entropy in closed string theory. We factorize the configuration space of closed strings based on the position of the center of mass. We then compute the one-loop Rényi partition functions corresponding to this factorization using the replica method and string field theory. The short-wavelength modes are cut off at the string scale and the one-loop entanglement entropy is ultraviolet-finite. A non-trivial path integration measure, required to produce the correct one-loop vacuum amplitude, plays a key role.
