On the chaos bound in rotating black holes
Abstract We study out-of-time-order correlators (OTOCs) of rotating BTZ black holes using two different approaches: the elastic eikonal gravity approximation, and the Chern-Simons formulations of 3-dimensional gravity. Within both methods the OTOC is given as a sum of two contributions, correspondin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2019)037 |
| _version_ | 1818912830565384192 |
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| author | Viktor Jahnke Keun-Young Kim Junggi Yoon |
| author_facet | Viktor Jahnke Keun-Young Kim Junggi Yoon |
| author_sort | Viktor Jahnke |
| collection | DOAJ |
| description | Abstract We study out-of-time-order correlators (OTOCs) of rotating BTZ black holes using two different approaches: the elastic eikonal gravity approximation, and the Chern-Simons formulations of 3-dimensional gravity. Within both methods the OTOC is given as a sum of two contributions, corresponding to left and right moving modes. The contributions have different Lyapunov exponents, λ L ± = 2 π β 1 1 ∓ ℓ Ω $$ {\lambda}_L^{\pm }=\frac{2\pi }{\beta}\frac{1}{1\mp \ell \Omega} $$ , where Ω is the angular velocity and ℓ is the AdS radius. Since λ L − ≤ 2 π β ≤ λ L + $$ {\lambda}_L^{-}\le \frac{2\pi }{\beta}\le {\lambda}_L^{+} $$ , there is an apparent contradiction with the chaos bound. We discuss how the result can be made consistent with the chaos bound if one views the parameters β ± = β(1 ∓ ℓΩ) as the effective inverse temperatures of the left and right moving modes. |
| first_indexed | 2024-12-19T23:20:50Z |
| format | Article |
| id | doaj.art-0ae433e5b029436ba52b0c1de7189f51 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T23:20:50Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0ae433e5b029436ba52b0c1de7189f512022-12-21T20:01:58ZengSpringerOpenJournal of High Energy Physics1029-84792019-05-012019513510.1007/JHEP05(2019)037On the chaos bound in rotating black holesViktor Jahnke0Keun-Young Kim1Junggi Yoon2School of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics and Chemistry, Gwangju Institute of Science and TechnologySchool of Physics, Korea Institute for Advanced StudyAbstract We study out-of-time-order correlators (OTOCs) of rotating BTZ black holes using two different approaches: the elastic eikonal gravity approximation, and the Chern-Simons formulations of 3-dimensional gravity. Within both methods the OTOC is given as a sum of two contributions, corresponding to left and right moving modes. The contributions have different Lyapunov exponents, λ L ± = 2 π β 1 1 ∓ ℓ Ω $$ {\lambda}_L^{\pm }=\frac{2\pi }{\beta}\frac{1}{1\mp \ell \Omega} $$ , where Ω is the angular velocity and ℓ is the AdS radius. Since λ L − ≤ 2 π β ≤ λ L + $$ {\lambda}_L^{-}\le \frac{2\pi }{\beta}\le {\lambda}_L^{+} $$ , there is an apparent contradiction with the chaos bound. We discuss how the result can be made consistent with the chaos bound if one views the parameters β ± = β(1 ∓ ℓΩ) as the effective inverse temperatures of the left and right moving modes.http://link.springer.com/article/10.1007/JHEP05(2019)037AdS-CFT CorrespondenceGauge-gravity correspondence |
| spellingShingle | Viktor Jahnke Keun-Young Kim Junggi Yoon On the chaos bound in rotating black holes Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence |
| title | On the chaos bound in rotating black holes |
| title_full | On the chaos bound in rotating black holes |
| title_fullStr | On the chaos bound in rotating black holes |
| title_full_unstemmed | On the chaos bound in rotating black holes |
| title_short | On the chaos bound in rotating black holes |
| title_sort | on the chaos bound in rotating black holes |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence |
| url | http://link.springer.com/article/10.1007/JHEP05(2019)037 |
| work_keys_str_mv | AT viktorjahnke onthechaosboundinrotatingblackholes AT keunyoungkim onthechaosboundinrotatingblackholes AT junggiyoon onthechaosboundinrotatingblackholes |