Effective description of sub-maximal chaos: stringy effects for SYK scrambling
Abstract It has been proposed that the exponential decay and subsequent power law saturation of out-of-time-order correlation functions can be universally described by collective ‘scramblon’ modes. We develop this idea from a path integral perspective in several examples, thereby establishing a gene...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)142 |
| _version_ | 1827917177875857408 |
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| author | Changha Choi Felix M. Haehl Márk Mezei Gábor Sárosi |
| author_facet | Changha Choi Felix M. Haehl Márk Mezei Gábor Sárosi |
| author_sort | Changha Choi |
| collection | DOAJ |
| description | Abstract It has been proposed that the exponential decay and subsequent power law saturation of out-of-time-order correlation functions can be universally described by collective ‘scramblon’ modes. We develop this idea from a path integral perspective in several examples, thereby establishing a general formalism. After reformulating previous work on the Schwarzian theory and identity conformal blocks in two-dimensional CFTs relevant for systems in the infinite coupling limit with maximal quantum Lyapunov exponent, we focus on theories with sub-maximal chaos: we study the large-q limit of the SYK quantum dot and chain, both of which are amenable to analytical treatment at finite coupling. In both cases we identify the relevant scramblon modes, derive their effective action, and find bilocal vertex functions, thus constructing an effective description of chaos. The final results can be matched in detail to stringy corrections to the gravitational eikonal S-matrix in holographic CFTs, including a stringy Regge trajectory, bulk to boundary propagators, and multi-string effects that are unexplored holographically. |
| first_indexed | 2024-03-13T03:25:05Z |
| format | Article |
| id | doaj.art-46ad631732a84a72ab6ae820e5666bbb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:05Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-46ad631732a84a72ab6ae820e5666bbb2023-06-25T11:07:01ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023313610.1007/JHEP03(2023)142Effective description of sub-maximal chaos: stringy effects for SYK scramblingChangha Choi0Felix M. Haehl1Márk Mezei2Gábor Sárosi3Perimeter Institute for Theoretical PhysicsSchool of Mathematical Sciences, University of SouthamptonMathematical Institute, University of OxfordTheoretical Physics Department, CERNAbstract It has been proposed that the exponential decay and subsequent power law saturation of out-of-time-order correlation functions can be universally described by collective ‘scramblon’ modes. We develop this idea from a path integral perspective in several examples, thereby establishing a general formalism. After reformulating previous work on the Schwarzian theory and identity conformal blocks in two-dimensional CFTs relevant for systems in the infinite coupling limit with maximal quantum Lyapunov exponent, we focus on theories with sub-maximal chaos: we study the large-q limit of the SYK quantum dot and chain, both of which are amenable to analytical treatment at finite coupling. In both cases we identify the relevant scramblon modes, derive their effective action, and find bilocal vertex functions, thus constructing an effective description of chaos. The final results can be matched in detail to stringy corrections to the gravitational eikonal S-matrix in holographic CFTs, including a stringy Regge trajectory, bulk to boundary propagators, and multi-string effects that are unexplored holographically.https://doi.org/10.1007/JHEP03(2023)142AdS-CFT CorrespondenceEffective Field TheoriesBlack Holes in String Theory |
| spellingShingle | Changha Choi Felix M. Haehl Márk Mezei Gábor Sárosi Effective description of sub-maximal chaos: stringy effects for SYK scrambling Journal of High Energy Physics AdS-CFT Correspondence Effective Field Theories Black Holes in String Theory |
| title | Effective description of sub-maximal chaos: stringy effects for SYK scrambling |
| title_full | Effective description of sub-maximal chaos: stringy effects for SYK scrambling |
| title_fullStr | Effective description of sub-maximal chaos: stringy effects for SYK scrambling |
| title_full_unstemmed | Effective description of sub-maximal chaos: stringy effects for SYK scrambling |
| title_short | Effective description of sub-maximal chaos: stringy effects for SYK scrambling |
| title_sort | effective description of sub maximal chaos stringy effects for syk scrambling |
| topic | AdS-CFT Correspondence Effective Field Theories Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP03(2023)142 |
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