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Cited by 604Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesQuantum chaos and dynamical systems

The DOI matches its Crossref record; 72 of the 73 references it cites were found in a registry or an index.

Stringy effects in scrambling

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Shenker, Stephen H., Stanford, Douglas·2015·Journal of High Energy Physics
DOI 10.1007/jhep05(2015)132
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Abstract

In [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. A similar analysis applies to squared commutators and other out-of-time-order one-sided correlators [2-6]. The essential bulk physics is a high energy scattering problem near the horizon of an AdS black hole. The above papers used Einstein gravity to study this problem; in the present paper we consider stringy and Planckian corrections. Elastic stringy corrections play an important role, effectively weakening and smearing out the development of chaos. We discuss their signature in the boundary field theory, commenting on the extension to weak coupling. Inelastic effects, although important for the evolution of the state, leave a parametrically small imprint on the correlators that we study. We briefly discuss ways to diagnose these small corrections, and we propose another correlator where inelastic effects are order one.

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Research works printed but not linked: 4

  1. B. Freivogel and L. Susskind, A Framework for the landscape, Phys. Rev. D 70 (2004) 126007 [ hep-th/0408133 ] [ INSPIRE ]. · arXiv
  2. D.A. Roberts and D. Stanford, Two-dimensional conformal field theory and the butterfly effect, arXiv:1412.5123 [ INSPIRE ]. · arXiv
  3. J. de Boer, H. Ooguri, H. Robins and J. Tannenhauser, String theory on AdS 3, JHEP 12 (1998) 026 [ hep-th/9812046 ] [ INSPIRE ]. · arXiv
  4. J.M. Maldacena and H. Ooguri, Strings in AdS 3 and the S L 2 ℝ $$ \mathrm{S}\mathrm{L}\left(2,\mathbb{R}\right) $$ WZW model. Part 3. Correlation functions, Phys. Rev. D 65 (2002) 106006 [ hep-th/0111180 ] [ INSPIRE ]. · arXiv

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Metadata

Authors
Shenker, S. H., & Stanford, D.
Affiliations
  • Stanford University (US)
  • Institute for Advanced Study (US)
Corresponding author
Stanford, Douglas
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2015-05
Volume
2015
Issue
5
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep05(2015)132
OpenAlex
W1744159570
Cited by
604
References
73
Citations by year
2026: 22 · 2025: 42 · 2024: 54 · 2023: 69 · 2022: 61 · 2021: 72 · 2020: 53 · 2019: 70 · 2018: 66 · 2017: 53 · 2016: 32 · 2015: 10
FWCI
26.88
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
Journal of High Energy Physics (publishedVersion, cc-by)
Funders
  • National Science Foundation (1066293, 1314311, PHY-131-4311, 1316699)
  • John Templeton Foundation
  • Aspen Center for Physics (1066293, PHYS-1066293)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
Keywords
quantum chaos, scrambling, thermofield double state, out-of-time-order correlators, AdS black holes, string corrections, inelastic behavior, elastic scattering, weak coupling

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