Aspects of entanglement entropy for gauge theories
Aspects of entanglement entropy for gauge theories
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DOI：
10.1007/jhep01(2016)136
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发表时间：
2015-10
影响因子：
5.4
通讯作者：
Ronak M. Soni;S. Trivedi
中科院分区：
文献类型：
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作者：
Ronak M. Soni;S. Trivedi
最近在Arxiv：1501.02593中给出了规范理论中纠缠熵的定义。在空间格子上工作，它涉及到将物理状态嵌入到扩展的希尔伯特空间中，该扩展希尔伯特空间是通过取格子的每一链上的状态的希尔伯特空间的张量积而获得的。根据定义，这个扩展的希尔伯特空间允许张量积分解，并允许定义感兴趣的链路组的密度矩阵和纠缠熵。在这里，我们继续研究这个扩展的希尔伯特空间定义，特别强调非阿贝尔规范理论的情况。
A definition for the entanglement entropy in a gauge theory was given recently in arXiv: 1501.02593. Working on a spatial lattice, it involves embedding the physical state in an extended Hilbert space obtained by taking the tensor product of the Hilbert space of states on each link of the lattice. This extended Hilbert space admits a tensor product decomposition by definition and allows a density matrix and entanglement entropy for the set of links of interest to be defined. Here, we continue the study of this extended Hilbert space definition with particular emphasis on the case of Non-Abelian gauge theories.