The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds

dc.citation.issue12
dc.citation.rankM21
dc.citation.spage150
dc.citation.volume2019
dc.contributor.authorČubrović, Mihailo
dc.date.accessioned2024-06-21T12:48:34Z
dc.date.available2024-06-21T12:48:34Z
dc.date.issued2019-12-23
dc.description.abstractWe perform a systematic study of the maximum Lyapunov exponent values λ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. Analytical estimates from the linearized varia- tional equations together with numerical integrations predict the bulk Lyapunov exponent value as λ ≈ 2πTn, where n is the winding number of the string. The celebrated bound on chaos stating that λ ≤ 2πT is thus systematically modified for winding strings in the bulk. Within gauge/string duality, such strings apparently correspond to complicated operators which either do not move on Regge trajectories, or move on subleading trajectories with an unusual slope. Depending on the energy scale, the out-of-time-ordered correlation functions of these operators may still obey the bound 2πT, or they may violate it like the bulk exponent. We do not know exactly why the bound on chaos can be modified but the indication from the gauge/string dual viewpoint is that the correlation functions of the dual gauge operators never factorize and thus the original derivation of the bound on chaos does not apply.
dc.identifier.doi10.1007/jhep12(2019)150
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.scopus2-s2.0-85077040797
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/128
dc.identifier.wos000510508100001
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofabbrJ. High Energy Phys.
dc.rightsopenAccess
dc.titleThe bound on chaos for closed strings in Anti-de Sitter black hole backgrounds
dc.typeArticle
dc.type.versionpublishedVersion
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