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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.95.066004.pdf | 491.15 kB | Adobe PDF | 見る/開く |
タイトル: | From path integrals to tensor networks for the AdS/CFT correspondence |
著者: | Miyaji, Masamichi Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Watanabe, Kento |
著者名の別形: | 髙柳, 匡 |
発行日: | 15-Mar-2017 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 95 |
号: | 6 |
論文番号: | 066004 |
抄録: | In this paper, we discuss tensor network descriptions of AdS/CFT from two different viewpoints. First, we start with a Euclidean path-integral computation of ground state wave functions with a UV cutoff. We consider its efficient optimization by making its UV cutoff position dependent and define a quantum state at each length scale. We conjecture that this path integral corresponds to a time slice of anti–de Sitter (AdS) spacetime. Next, we derive a flow of quantum states by rewriting the action of Killing vectors of AdS₃ in terms of the dual two-dimensional conformal field theory (CFT). Both approaches support a correspondence between the hyperbolic time slice H₂ in AdS₃ and a version of continuous multiscale entanglement renormalization ansatz. We also give a heuristic argument about why we can expect a sub-AdS scale bulk locality for holographic CFTs. |
著作権等: | © 2017 American Physical Society 許諾条件に基づいて掲載しています。 |
URI: | http://hdl.handle.net/2433/252411 |
DOI(出版社版): | 10.1103/PhysRevD.95.066004 |
出現コレクション: | 学術雑誌掲載論文等 |
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