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Cited by 699Black Holes and Theoretical PhysicsQuantum many-body systemsQuantum chaos and dynamical systems

The spectrum in the Sachdev-Ye-Kitaev model

Open access
Polchinski, Joseph, Rosenhaus, Vladimir·2016·Journal of High Energy Physics
DOI 10.1007/jhep04(2016)001
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Abstract

The SYK model consists of N ≫ 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the SchwingerDyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. The four-point function is expressed as a sum over the spectrum. The sum over the discrete tower is evaluated.

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Crossref · 10.1007/jhep04(2016)001

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  • In the limit N → ∞ at fixed βJ ≫ 1, the SYK model appears to become holographic and has many features resembling nearly-AdS2 gravity.

    “In the limit N → ∞, at fixed βJ 1, the SYK model appears to become holographic; it has many features that resemble nearly-AdS 2 gravity.”

    From Entanglement wedge reconstruction and the information paradox (2020) · cites this paper as [92]

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Authors
Polchinski, J., & Rosenhaus, V.
Affiliations
University of California, Santa Barbara (US)
Corresponding author
Rosenhaus, Vladimir
ORCID
Rosenhaus, Vladimir
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2016-04
Volume
2016
Issue
4
Pages
1-25
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep04(2016)001
OpenAlex
W2252917783
Cited by
699
References
2
Citations by year
2026: 18 · 2025: 51 · 2024: 30 · 2023: 56 · 2022: 58 · 2021: 83 · 2020: 76 · 2019: 98 · 2018: 112 · 2017: 97 · 2016: 19
FWCI
52.52
Type
journal article
Language
en
Open access
Licence
cc-by
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
National Science Foundation (PHY11- 25915, 25915, 1316748)
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 › Quantum chaos and dynamical systems
Keywords
Sachdev-Ye-Kitaev model, energy spectrum, two-particle states, Dyson-Schwinger equations, chaos, holography, four-point functions, continuous spectrum

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