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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.96.045020.pdf | 1.61 MB | Adobe PDF | 見る/開く |
タイトル: | Entanglement entropy for 2D gauge theories with matters |
著者: | Aoki, Sinya Iizuka, Norihiro Tamaoka, Kotaro Yokoya, Tsuyoshi |
著者名の別形: | 青木, 愼也 |
発行日: | 15-Aug-2017 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 96 |
号: | 4 |
論文番号: | 045020 |
抄録: | We investigate the entanglement entropy in 1+1-dimensional SU(N) gauge theories with various matter fields using the lattice regularization. Here we use extended Hilbert space definition for entanglement entropy, which contains three contributions; (1) classical Shannon entropy associated with superselection sector distribution, where sectors are labeled by irreducible representations of boundary penetrating fluxes, (2) logarithm of the dimensions of their representations, which is associated with “color entanglement, ” and (3) EPR Bell pairs, which give “genuine” entanglement. We explicitly show that entanglement entropies (1) and (2) above indeed appear for various multiple “meson” states in gauge theories with matter fields. Furthermore, we employ transfer matrix formalism for gauge theory with fundamental matter field and analyze its ground state using hopping parameter expansion (HPE), where the hopping parameter K is roughly the inverse square of the mass for the matter. We evaluate the entanglement entropy for the ground state and show that all (1), (2), (3) above appear in the HPE, though the Bell pair part (3) appears in higher order than (1) and (2) do. With these results, we discuss how the ground state entanglement entropy in the continuum limit can be understood from the lattice ground state obtained in the HPE. |
著作権等: | © 2017 American Physical Society |
URI: | http://hdl.handle.net/2433/250296 |
DOI(出版社版): | 10.1103/PhysRevD.96.045020 |
出現コレクション: | 学術雑誌掲載論文等 |

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