Some Results On Relative Entropy in Quantum Field Theory
Some Results On Relative Entropy in Quantum Field Theory
复制标题
DOI：
10.1007/s00220-019-03367-x
复制
发表时间：
2018-10
影响因子：
2.4
通讯作者：
Fengjun Xu
中科院分区：
文献类型：
--
作者：
Fengjun Xu
证明了任意维闵可夫斯基时空中一般狄拉克量子场的真空态互信息是有限的。在二维手性共形场论（CFT）的情况下，我们利用之前关于自由费米子的结果，证明了对于一大类手性共形场论，互信息是有限的。我们也给出了相对熵与共形网表示的指数之间的直接关系。
We prove that the mutual information for vacuum state as defined by Araki is finite for general Dirac Quantum Fields in Minkowski spacetime of any dimension. In the case of two dimensional chiral conformal field theory (CFT) we use our previous results for the free fermions to show that for a large class of chiral CFT the mutual information is finite. We also provide a direct relation between relative entropy and the index of a representation of conformal net.