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タイトル: | Scrambling time from local perturbations of the eternal BTZ black hole |
著者: | Caputa, Pawel Simón, Joan Štikonas, Andrius Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Watanabe, Kento |
著者名の別形: | 高柳, 匡 |
キーワード: | AdS-CFT Correspondence Conformal Field Models in String Theory Black Holes Holography and condensed matter physics (AdS/CMT) |
発行日: | Aug-2015 |
出版者: | Springer Berlin Heidelberg |
誌名: | Journal of High Energy Physics |
巻: | 2015 |
論文番号: | 011 |
抄録: | We compute the mutual information between finite intervals in two non-compact 2d CFTs in the thermofield double formulation after one of them has been locally perturbed by a primary operator at some time t<inf>ω</inf> in the large c limit. We determine the time scale, called the scrambling time, at which the mutual information vanishes and the original entanglement between the thermofield double gets destroyed by the perturbation. We provide a holographic description in terms of a free falling particle in the eternal BTZ black hole that exactly matches our CFT calculations. Our results hold for any time t<inf>ω</inf>. In particular, when the latter is large, they reproduce the bulk shock-wave propagation along the BTZ horizon description. |
著作権等: | © 2015, The Author(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/210381 |
DOI(出版社版): | 10.1007/JHEP08(2015)011 |
出現コレクション: | 学術雑誌掲載論文等 |
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