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Perturbative expansions of Rényi relative divergences and holography
https://oist.repo.nii.ac.jp/records/1692
https://oist.repo.nii.ac.jp/records/16922b6b5721-05e1-4d3f-8f50-7390ee6716c1
名前 / ファイル | ライセンス | アクション |
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Ugajin-2020-Perturbative expansions of Rényi r (506.2 kB)
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Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2020-09-10 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Perturbative expansions of Rényi relative divergences and holography | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | AdS-CFT Correspondence | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Gauge-gravity correspondence | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Holography and condensed matter physics (AdS/CMT) | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Ugajin, Tomonori
× Ugajin, Tomonori |
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書誌情報 |
en : Journal of High Energy Physics 巻 2020, 号 6, p. 53, 発行日 2020-06-08 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | In this paper, we develop a novel way to perturbatively calculate R´enyi relative divergences Dγ(ρ||σ) = trργσ1−γ and related quantities without using replica trick as well as analytic continuation. We explicitly determine the form of the perturbative term at any order by an integral along the modular flow of the unperturbed state. By applying the prescription to a class of reduced density matrices in conformal field theory, we find that the second order term of certain linear combination of the divergences has a holographic expression in terms of bulk symplectic form, which is a one parameter generalization of the statement “Fisher information = Bulk canonical energy”. | |||||
出版者 | ||||||
出版者 | Springer Nature | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1029-8479 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1126-6708 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/JHEP06(2020)053 | |||||
権利 | ||||||
権利情報 | © 2020 The Author(s) | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/JHEP06(2020)053 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |