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Cited by 633Black Holes and Theoretical PhysicsQuantum many-body systemsNoncommutative and Quantum Gravity Theories

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

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Kitaev, Alexei, Suh, S. Josephine·2018·Journal of High Energy Physics
DOI 10.1007/jhep05(2018)183
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Abstract

A bstract: We give an exposition of the SYK model with several new results. A non-local correction to the Schwarzian effective action is found. The same action is obtained by integrating out the bulk degrees of freedom in a certain variant of dilaton gravity. We also discuss general properties of out-of-time-order correlators.

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  • Recent studies show that SYK does not exhibit a spin glass phase; a saddle-point analysis of the replica trick in the large-N limit indicates that no saddles correlating different replicas dominate the correlators Z^m at any temperature.

    “These investigations show that SYK does not exhibit a spin glass phase; that is, a saddle-point analysis of the replica trick in the large-N limit (see e.g.[33,34]) indicates that no saddles correlating different replicas dominate the correlators Z m at any temperature [33,[35][36][37][38][39][40][41][42][43].”

    From Free energy from replica wormholes (2021) · cites this paper as [34]

    The Introduction says that, for q=4 SYK, a transition to a glassy phase is expected at an extremely low temperature, rather than ruling one out at every temperature. The appendix also limits the equivalence of the replica-diagonal mean-field action to T > T_glass; it does not establish that replica-correlating saddles never dominate. (LLM, conf=0.88)

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Research works printed but not linked: 41

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Cited by

Sorted by citations

Authors
Kitaev, A., & Suh, S. J.
Affiliations
California Institute of Technology (US)
Corresponding author
Suh, S. Josephine
ORCID
Suh, S. Josephine
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2018-05
Volume
2018
Issue
5
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep05(2018)183
OpenAlex
W2769687921
Cited by
633
References
7
Citations by year
2026: 34 · 2025: 54 · 2024: 48 · 2023: 81 · 2022: 86 · 2021: 102 · 2020: 94 · 2019: 81 · 2018: 52 · 2017: 1
FWCI
43.59
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • CaltechAUTHORS (California Institute of Technology) (submittedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (1607611)
  • Simons Foundation (PHY-1607611, 376205, 376206)
  • Gordon and Betty Moore Foundation
  • Aspen Center for Physics (PHY1607611, 1607611)
  • Natural Sciences and Engineering Research Council of Canada (376206)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
Sachdev-Ye-Kitaev model, soft mode, dilaton gravity, AdS/CFT correspondence, out-of-time-order correlators, holographic dual, quantum chaos

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