When things stop falling, chaos is suppressed
Abstract This note is devoted to the investigation of Susskind’s proposal [1] concerning the correspondence between the operator growth in chaotic theories and the radial momenta of the particle falling in the AdS black hole. We study this proposal and consider the simple example of an operator with...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)100 |
| _version_ | 1828860294050349056 |
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| author | Dmitry S. Ageev Irina Ya. Aref’eva |
| author_facet | Dmitry S. Ageev Irina Ya. Aref’eva |
| author_sort | Dmitry S. Ageev |
| collection | DOAJ |
| description | Abstract This note is devoted to the investigation of Susskind’s proposal [1] concerning the correspondence between the operator growth in chaotic theories and the radial momenta of the particle falling in the AdS black hole. We study this proposal and consider the simple example of an operator with the global charge described by the charged particle falling to the Reissner-Nordstrom-AdS black hole. Different charges of the particle lead to qualitatively different behavior of the particle momenta and consequently change of the operator size behavior. This holographic result is supported by different examples of chaotic models with a finite chemical potential where the suppression of chaos has been observed. |
| first_indexed | 2024-12-13T02:35:58Z |
| format | Article |
| id | doaj.art-cb4937c6d56e462a93ae16c4c56e490b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T02:35:58Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cb4937c6d56e462a93ae16c4c56e490b2022-12-22T00:02:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-01201911910.1007/JHEP01(2019)100When things stop falling, chaos is suppressedDmitry S. Ageev0Irina Ya. Aref’eva1Steklov Mathematical Institute, Russian Academy of SciencesSteklov Mathematical Institute, Russian Academy of SciencesAbstract This note is devoted to the investigation of Susskind’s proposal [1] concerning the correspondence between the operator growth in chaotic theories and the radial momenta of the particle falling in the AdS black hole. We study this proposal and consider the simple example of an operator with the global charge described by the charged particle falling to the Reissner-Nordstrom-AdS black hole. Different charges of the particle lead to qualitatively different behavior of the particle momenta and consequently change of the operator size behavior. This holographic result is supported by different examples of chaotic models with a finite chemical potential where the suppression of chaos has been observed.http://link.springer.com/article/10.1007/JHEP01(2019)100AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT) |
| spellingShingle | Dmitry S. Ageev Irina Ya. Aref’eva When things stop falling, chaos is suppressed Journal of High Energy Physics AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| title | When things stop falling, chaos is suppressed |
| title_full | When things stop falling, chaos is suppressed |
| title_fullStr | When things stop falling, chaos is suppressed |
| title_full_unstemmed | When things stop falling, chaos is suppressed |
| title_short | When things stop falling, chaos is suppressed |
| title_sort | when things stop falling chaos is suppressed |
| topic | AdS-CFT Correspondence Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)100 |
| work_keys_str_mv | AT dmitrysageev whenthingsstopfallingchaosissuppressed AT irinayaarefeva whenthingsstopfallingchaosissuppressed |