Notes on Entanglement in Abelian Gauge Theories
Notes on Entanglement in Abelian Gauge Theories
复制标题
关于阿贝尔规范理论中纠缠的注释
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Djordje Radicevic
中科院分区：
文献类型：
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作者：
Djordje Radicevic
我们简化和推广的阿贝尔规范理论的空间区域之间的纠缠理解的最新进展。本文给出了一个计算格点Z_N规范场纠缠熵的明确而明确的公式。其主要思想是，晶格应该被分割成两个不相交的区域的链接分开的缓冲区的plaquette。我们表明，以前的纠缠熵的计算可以实现为我们的设置的特殊情况下，我们认为，在以前的工作中报告的模糊性可以理解为规范不变的运营商生活在缓冲区的基础选择。建议的程序适用于阿贝尔理论与物质和连续对称群，无论是在晶格和连续。
We streamline and generalize the recent progress in understanding entanglement between spatial regions in Abelian gauge theories. We provide an unambiguous and explicit prescription for calculating entanglement entropy in a $mathbb Z_N$ lattice gauge theory. The main idea is that the lattice should be split into two disjoint regions of links separated by a buffer zone of plaquettes. We show that the previous calculations of the entanglement entropy can be realized as special cases of our setup, and we argue that the ambiguities reported in the previous work can be understood as basis choices for gauge-invariant operators living in the buffer zone. The proposed procedure applies to Abelian theories with matter and with continuous symmetry groups, both on the lattice and in the continuum.