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タイトル: On the definition of entanglement entropy in lattice gauge theories
著者: Aoki, Sinya
Iritani, Takumi
Nozaki, Masahiro
Numasawa, Tokiro
Shiba, Noburo
Tasaki, Hal
著者名の別形: 入谷, 匠
キーワード: Lattice Gauge Field Theories
Gauge Symmetry
発行日: 26-Jun-2015
出版者: Springer Berlin Heidelberg
誌名: Journal of High Energy Physics
巻: 2015
号: 6
論文番号: 187
抄録: We focus on the issue of proper definition of entanglement entropy in lattice gauge theories, and examine a naive definition where gauge invariant states are viewed as elements of an extended Hilbert space which contains gauge non-invariant states as well. Working in the extended Hilbert space, we can define entanglement entropy associated with an arbitrary subset of links, not only for abelian but also for non-abelian theories. We then derive the associated replica formula. We also discuss the issue of gauge invariance of the entanglement entropy. In the Z(N) gauge theories in arbitrary space dimensions, we show that all the standard properties of the entanglement entropy, e.g. the strong subadditivity, hold in our definition. We study the entanglement entropy for special states, including the topological states for the Z(N) gauge theories in arbitrary dimensions. We discuss relations of our definition to other proposals.
著作権等: JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/201623
DOI(出版社版): 10.1007/JHEP06(2015)187
出現コレクション:学術雑誌掲載論文等

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