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arxiv: 2604.18675 · v1 · submitted 2026-04-20 · ✦ hep-th · cond-mat.stat-mech· cond-mat.str-el

Recognition: unknown

All-order fluctuating hydrodynamics of the SYK lattice

Marta Bucca , Akash Jain , M\'ark Mezei , Alexey Milekhin
Authors on Pith no claims yet

Pith reviewed 2026-05-10 04:17 UTC · model grok-4.3

classification ✦ hep-th cond-mat.stat-mechcond-mat.str-el
keywords SYK latticefluctuating hydrodynamicspseudo-Goldstone bosonstransport coefficientsderivative expansionstrongly coupled systemsquantum many-body dynamics
0
0 comments X

The pith

The SYK lattice's low-temperature pseudo-Goldstone action reorganizes into the full effective theory of fluctuating hydrodynamics.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that the spatially local SYK lattice model has its low-temperature dynamics completely captured by the nonlinear action of pseudo-Goldstone bosons. In the long-wavelength limit this action can be reorganized into the effective field theory for fluctuating hydrodynamics, with every transport coefficient computed to high orders in the derivative expansion. A sympathetic reader cares because the result shows how macroscopic hydrodynamic degrees of freedom embed directly into the microscopic description of a solvable, strongly coupled quantum many-body system.

Core claim

Starting from the nonlinear action of pseudo-Goldstone bosons that dominate the low-temperature dynamics of the SYK lattice, the authors reorganize this action in the long-wavelength limit as the effective field theory for fluctuating hydrodynamics. This reorganization determines all corresponding transport coefficients to high orders in the derivative expansion and thereby embeds the hydrodynamic degrees of freedom into the microscopic description of the model.

What carries the argument

Reorganization of the nonlinear pseudo-Goldstone boson action into the fluctuating hydrodynamics effective field theory in the long-wavelength limit.

Load-bearing premise

The low-temperature dynamics are fully dominated by the nonlinear action of pseudo-Goldstone bosons and the long-wavelength limit permits a clean reorganization into fluctuating hydrodynamics without additional microscopic contributions.

What would settle it

A mismatch between the hydrodynamic transport coefficients extracted from the reorganized action and those computed directly from microscopic correlation functions in the SYK lattice model would falsify the reorganization.

read the original abstract

The SYK model has played an important role in recent developments in many-body quantum chaos. We study a spatially local generalisation of it: the SYK lattice. Starting from the nonlinear action of pseudo-Goldstone bosons that dominate its dynamics at low temperatures, in the long wavelength limit we reorganise this action as the effective field theory for fluctuating hydrodynamics, thereby showing how the hydrodynamic degrees of freedom embed into the microscopic description of the model. We compute the hydrodynamic effective action to high orders in the derivative expansion and determine all the corresponding transport coefficients. Hence this work derives hydrodynamics from the microscopic description of a strongly coupled quantum many-body system.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript claims that the nonlinear action of pseudo-Goldstone bosons, which dominates the low-temperature dynamics of the SYK lattice, can be reorganized in the long-wavelength limit into the effective field theory of fluctuating hydrodynamics. It computes the resulting hydrodynamic effective action to high orders in the derivative expansion and extracts all transport coefficients directly from the microscopic model, thereby deriving hydrodynamics from the SYK lattice description.

Significance. If the central reorganization holds, the work supplies a concrete, parameter-free example of how hydrodynamic modes and all-order transport coefficients emerge from the microscopic pseudo-Goldstone action of a strongly coupled, chaotic quantum system. This is a useful benchmark for fluctuating hydrodynamics in SYK-like models and illustrates the utility of EFT reorganizations that connect microscopic and macroscopic descriptions without additional fitting.

major comments (2)
  1. [§2] §2 (nonlinear pseudo-Goldstone action): The central claim that the reorganization yields all-order hydrodynamics rests on the assumption that the starting nonlinear action fully captures the low-energy dynamics with no additional microscopic contributions surviving the long-wavelength limit. The manuscript takes this completeness from prior SYK literature but does not provide an explicit argument or cross-check showing why other UV terms are absent; this is load-bearing for the all-order result.
  2. [§3 and §4] §3 (reorganization procedure) and §4 (hydrodynamic action): While the reorganization is presented as a standard EFT step, the manuscript lacks explicit verification of the resulting transport coefficients against known lower-order results (e.g., the leading diffusion constant or viscosity from earlier SYK hydrodynamics studies). Without such checks, potential omissions in the all-order expansion cannot be ruled out.
minor comments (2)
  1. [Introduction] The distinction between the original pseudo-Goldstone fields and the hydrodynamic variables introduced in the reorganization could be clarified with a short table or explicit mapping in the introduction.
  2. [§3] A few instances of repeated phrasing in the discussion of the long-wavelength limit could be tightened for readability.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comments. We address each major point below and indicate the changes we will make in the revised version.

read point-by-point responses

  1. Referee: [§2] §2 (nonlinear pseudo-Goldstone action): The central claim that the reorganization yields all-order hydrodynamics rests on the assumption that the starting nonlinear action fully captures the low-energy dynamics with no additional microscopic contributions surviving the long-wavelength limit. The manuscript takes this completeness from prior SYK literature but does not provide an explicit argument or cross-check showing why other UV terms are absent; this is load-bearing for the all-order result.

    Authors: We agree that an explicit justification strengthens the foundation of the all-order result. In the revised manuscript we will expand the discussion in §2 to include a concise argument: the nonlinear pseudo-Goldstone action is the complete low-energy EFT because the SYK lattice at low temperature has no other gapless modes; all other excitations are gapped by the SYK scale and are therefore exponentially suppressed (∼ e^{-Δ/T}) in the long-wavelength limit k ≪ T. We will cite the relevant prior derivations of this action to make the completeness explicit without introducing new assumptions. revision: yes

  2. Referee: [§3 and §4] §3 (reorganization procedure) and §4 (hydrodynamic action): While the reorganization is presented as a standard EFT step, the manuscript lacks explicit verification of the resulting transport coefficients against known lower-order results (e.g., the leading diffusion constant or viscosity from earlier SYK hydrodynamics studies). Without such checks, potential omissions in the all-order expansion cannot be ruled out.

    Authors: We thank the referee for this useful suggestion. While the structure of our hydrodynamic action is consistent with known results, we did not perform explicit low-order comparisons in the original text. In the revision we will add a short subsection in §4 that extracts the leading transport coefficients (diffusion constant, viscosity, etc.) from the all-order action and directly compares them to the values reported in earlier SYK hydrodynamics literature. This cross-check will confirm the reorganization procedure at low orders and support the reliability of the higher-order terms. revision: yes

Circularity Check

0 steps flagged

Reorganization of pre-existing pseudo-Goldstone action into hydrodynamics is self-contained

full rationale

The derivation begins from the nonlinear action of pseudo-Goldstone bosons (taken as given from prior SYK literature) and performs a long-wavelength reorganization into the fluctuating hydrodynamics EFT, computing transport coefficients to high orders in the derivative expansion. This is a standard effective-field-theory matching procedure that maps one set of degrees of freedom and operators onto another without defining the input action in terms of the output hydrodynamics or fitting parameters to the target result. No equation reduces to its own consequence by construction, no transport coefficient is renamed as a prediction after being fitted, and no load-bearing uniqueness theorem or ansatz is imported solely via self-citation. The central claim therefore remains independent of the final hydrodynamic variables.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The derivation rests on the pre-established nonlinear action for pseudo-Goldstone bosons in the SYK model at low T, the validity of the long-wavelength limit, and standard assumptions of effective field theory.

axioms (2)
  • domain assumption Low-temperature dynamics of the SYK lattice are dominated by the nonlinear action of pseudo-Goldstone bosons.
    Invoked in the abstract as the starting point for reorganization into hydrodynamics.
  • domain assumption Long-wavelength limit permits reorganization of the boson action into fluctuating hydrodynamics EFT.
    Central step stated in the abstract.

pith-pipeline@v0.9.0 · 5414 in / 1301 out tokens · 37922 ms · 2026-05-10T04:17:51.416426+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

114 extracted references · 103 canonical work pages · 1 internal anchor

  1. [1]

    Y. Li, X. Chen and M. P. A. Fisher,Quantum Zeno effect and the many-body entanglement transition,Phys. Rev. B98(2018) 205136, [1808.06134]

    work page arXiv 2018

  2. [2]

    Skinner, J

    B. Skinner, J. Ruhman and A. Nahum,Measurement-Induced Phase Transitions in the Dynamics of Entanglement,Phys. Rev. X9(2019) 031009, [1808.05953]

    work page arXiv 2019

  3. [3]

    Y. Li, X. Chen and M. P. A. Fisher,Measurement-driven entanglement transition in hybrid quantum circuits,Phys. Rev. B100(2019) 134306, [1901.08092]

    work page arXiv 2019

  4. [4]

    Szyniszewski, A

    M. Szyniszewski, A. Romito and H. Schomerus,Entanglement transition from variable-strength weak measurements,Phys. Rev. B100(2019) 064204, [1903.05452]. – 55 –

    work page arXiv 2019

  5. [5]

    Minato, K

    T. Minato, K. Sugimoto, T. Kuwahara and K. Saito,Fate of measurement-induced phase transition in long-range interactions,2104.09118

    work page arXiv

  6. [6]

    M¨ uller, S

    T. M¨ uller, S. Diehl and M. Buchhold,Measurement-Induced Dark State Phase Transitions in Long-Ranged Fermion Systems,Phys. Rev. Lett.128(2022) 010605, [2105.08076]

    work page arXiv 2022

  7. [7]

    Buchhold, T

    M. Buchhold, T. M¨ uller and S. Diehl,Revealing measurement-induced phase transitions by pre-selection,2208.10506

    work page arXiv

  8. [8]

    Dhar and S

    S. Dhar and S. Dasgupta,Measurement-induced phase transition in a quantum spin system, Physical Review A93(may, 2016) , [1603.03561]

    work page arXiv 2016

  9. [9]

    Turkeshi, A

    X. Turkeshi, A. Biella, R. Fazio, M. Dalmonte and M. Schir´ o,Measurement-induced entanglement transitions in the quantum Ising chain: From infinite to zero clicks,Phys. Rev. B 103(2021) 224210, [2103.09138]

    work page arXiv 2021

  10. [10]

    Tang and W

    Q. Tang and W. Zhu,Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations,Physical Review Research2(jan,

  11. [11]

    Szyniszewski, A

    M. Szyniszewski, A. Romito and H. Schomerus,Universality of Entanglement Transitions from Stroboscopic to Continuous Measurements,Phys. Rev. Lett.125(2020) 210602, [2005.01863]

    work page arXiv 2020

  12. [12]

    S.-K. Jian, C. Liu, X. Chen, B. Swingle and P. Zhang,Measurement-Induced Phase Transition in the Monitored Sachdev-Ye-Kitaev Model,Phys. Rev. Lett.127(2021) 140601, [2104.08270]

    work page arXiv 2021

  13. [13]

    Nahum, S

    A. Nahum, S. Roy, B. Skinner and J. Ruhman,Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory, PRX Quantum2(2021) 010352, [2009.11311]

    work page arXiv 2021

  14. [14]

    Botzung, S

    T. Botzung, S. Diehl and M. M¨ uller,Engineered dissipation induced entanglement transition in quantum spin chains: From logarithmic growth to area law,Phys. Rev. B104(2021) 184422, [2106.10092]

    work page arXiv 2021

  15. [15]

    Alberton, M

    O. Alberton, M. Buchhold and S. Diehl,Entanglement Transition in a Monitored Free-Fermion Chain: From Extended Criticality to Area Law,Phys. Rev. Lett.126(2021) 170602, [2005.09722]

    work page arXiv 2021

  16. [16]

    Altland, M

    A. Altland, M. Buchhold, S. Diehl and T. Micklitz,Dynamics of measured many-body quantum chaotic systems,Phys. Rev. Res.4(2022) L022066, [2112.08373]

    work page arXiv 2022

  17. [17]

    Bernien, S

    H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler et al.,Probing many-body dynamics on a 51-atom quantum simulator,Nature551(Nov., 2017) 579–584, [1707.04344]

    work page arXiv 2017

  18. [18]

    C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn and Z. Papi´ c,Weak ergodicity breaking from quantum many-body scars,Nature Physics14(May, 2018) 745–749, [ 1711.03528]

    work page arXiv 2018

  19. [19]

    G.-X. Su, H. Sun, A. Hudomal, J.-Y. Desaules, Z.-Y. Zhou, B. Yang et al.,Observation of many-body scarring in a bose-hubbard quantum simulator,Physical Review Research5(Apr.,

  20. [20]

    Serbyn, D

    M. Serbyn, D. A. Abanin and Z. Papi´ c,Quantum many-body scars and weak breaking of ergodicity,Nature Physics17(May, 2021) 675–685, [2011.09486]

    work page arXiv 2021

  21. [21]

    Moudgalya, B.A

    S. Moudgalya, B. A. Bernevig and N. Regnault,Quantum many-body scars and Hilbert space fragmentation: a review of exact results,Rept. Prog. Phys.85(2022) 086501, [2109.00548]. – 56 –

    work page arXiv 2022

  22. [22]

    Papic,Weak Ergodicity Breaking Through the Lens of Quantum Entanglement, pp

    Z. Papic,Weak Ergodicity Breaking Through the Lens of Quantum Entanglement, pp. 341–395. Springer International Publishing, Cham, 2022

    2022

  23. [23]

    Chandran, T

    A. Chandran, T. Iadecola, V. Khemani and R. Moessner,Quantum Many-Body Scars: A Quasiparticle Perspective,Ann. Rev. Condensed Matter Phys.14(2023) 443–469, [ 2206.11528]

    work page arXiv 2023

  24. [24]

    Pakrouski, P

    K. Pakrouski, P. N. Pallegar, F. K. Popov and I. R. Klebanov,Many Body Scars as a Group Invariant Sector of Hilbert Space,Phys. Rev. Lett.125(2020) 230602, [2007.00845]

    work page arXiv 2020

  25. [25]

    Milekhin and N

    A. Milekhin and N. Sukhov,All holographic systems have scar states,Phys. Rev. D110(2024) 046023, [2307.11348]

    work page arXiv 2024

  26. [26]

    Buca and T

    B. Buca and T. Prosen,A note on symmetry reductions of the Lindblad equation: Transport in constrained open spin chains,New J. Phys.14(2012) 073007, [1203.0943]

    work page arXiv 2012

  27. [27]

    D. Gu, Z. Wang and Z. Wang,Spontaneous symmetry breaking in open quantum systems: Strong, weak, and strong-to-weak,Phys. Rev. B112(2025) 245123, [2406.19381]

    work page internal anchor Pith review Pith/arXiv arXiv 2025

  28. [28]

    X. Feng, Z. Cheng and M. Ippoliti,Hardness of Observing Strong-to-Weak Symmetry Breaking, Phys. Rev. Lett.135(2025) 200402, [2504.12233]

    work page arXiv 2025

  29. [29]

    Z. Liu, L. Chen, Y. Zhang, S. Zhou and P. Zhang,Diagnosing strong-to-weak symmetry breaking via Wightman correlators,Commun. Phys.8(2025) 274, [2410.09327]

    work page arXiv 2025

  30. [30]

    J. S. Cotler, D. K. Mark, H.-Y. Huang, F. Hern´ andez, J. Choi, A. L. Shaw et al.,Emergent quantum state designs from individual many-body wave functions,PRX Quantum4(Jan, 2023) 010311, [2103.03536]

    work page arXiv 2023

  31. [31]

    J. Choi, A. L. Shaw, I. S. Madjarov, X. Xie, R. Finkelstein, J. P. Covey et al.,Preparing random states and benchmarking with many-body quantum chaos,Nature613(2023) 468–473, [2103.03535]

    work page arXiv 2023

  32. [32]

    W. W. Ho and S. Choi,Exact emergent quantum state designs from quantum chaotic dynamics, Phys. Rev. Lett.128(Feb, 2022) 060601, [2109.07491]

    work page arXiv 2022

  33. [33]

    Shrotriya and W

    H. Shrotriya and W. W. Ho,Nonlocality of deep thermalization,SciPost Phys.18(2025) 107, [2305.08437]

    work page arXiv 2025

  34. [34]

    Chan and A

    A. Chan and A. De Luca,Projected state ensemble of a generic model of many-body quantum chaos,J. Phys. A57(2024) 405001, [2402.16939]

    work page arXiv 2024

  35. [35]

    Chang, H

    R.-A. Chang, H. Shrotriya, W. W. Ho and M. Ippoliti,Deep thermalization under charge-conserving quantum dynamics,PRX Quantum6(Jun, 2025) 020343, [2408.15325]

    work page arXiv 2025

  36. [36]

    D. K. Mark, F. Surace, A. Elben, A. L. Shaw, J. Choi, G. Refael et al.,Maximum Entropy Principle in Deep Thermalization and in Hilbert-Space Ergodicity,Phys. Rev. X14(2024) 041051, [2403.11970]

    work page arXiv 2024

  37. [37]

    Milekhin and S

    A. Milekhin and S. Murciano,Observable-projected ensembles,Quantum9(2025) 1888, [2410.21397]

    work page arXiv 2025

  38. [38]

    von Keyserlingk, T

    C. von Keyserlingk, T. Rakovszky, F. Pollmann and S. Sondhi,Operator hydrodynamics, OTOCs, and entanglement growth in systems without conservation laws,Phys. Rev. X8(2018) 021013, [1705.08910]

    work page arXiv 2018

  39. [39]

    Grozdanov and J

    S. Grozdanov and J. Polonyi,Viscosity and dissipative hydrodynamics from effective field theory, Phys. Rev. D91(2015) 105031, [1305.3670]. – 57 –

    work page arXiv 2015

  40. [40]

    Harder, P

    M. Harder, P. Kovtun and A. Ritz,On thermal fluctuations and the generating functional in relativistic hydrodynamics,JHEP07(2015) 025, [1502.03076]

    work page arXiv 2015

  41. [41]

    Effective field theory of dissipative fluids,

    M. Crossley, P. Glorioso and H. Liu,Effective field theory of dissipative fluids,JHEP09(2017) 095, [1511.03646]

    work page arXiv 2017

  42. [42]

    F. M. Haehl, R. Loganayagam and M. Rangamani,Topological sigma models & dissipative hydrodynamics,JHEP04(2016) 039, [1511.07809]

    work page arXiv 2016

  43. [43]

    F. M. Haehl, R. Loganayagam and M. Rangamani,Effective Action for Relativistic Hydrodynamics: Fluctuations, Dissipation, and Entropy Inflow,JHEP10(2018) 194, [1803.11155]

    work page arXiv 2018

  44. [44]

    Jensen, N

    K. Jensen, N. Pinzani-Fokeeva and A. Yarom,Dissipative hydrodynamics in superspace,JHEP 09(2018) 127, [1701.07436]

    work page arXiv 2018

  45. [45]

    Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics

    H. Liu and P. Glorioso,Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics,PoSTASI2017(2018) 008, [1805.09331]

    work page Pith review arXiv 2018

  46. [46]

    A. A. Michailidis, D. A. Abanin and L. V. Delacr´ etaz,Corrections to Diffusion in Interacting Quantum Systems,Phys. Rev. X14(2024) 031020, [2310.10564]

    work page arXiv 2024

  47. [47]

    Nicoletti and A

    D. Nicoletti and A. Cavalleri,Nonlinear light–matter interaction at terahertz frequencies, Advances in Optics and Photonics8(Aug., 2016) 401, [1608.05611]

    work page arXiv 2016

  48. [48]

    Chaudhuri, D

    D. Chaudhuri, D. Barbalas, R. R. III, F. Mahmood, J. Liang, J. Jesudasan et al.,Anomalous high-temperature THz nonlinearity in superconductors near the metal-insulator transition, 2204.04203

    work page arXiv

  49. [49]

    Chapman and T

    S. Chapman and T. G. Cowling,The mathematical theory of non-uniform gases: an account of the kinetic theory of viscosity, thermal conduction and diffusion in gases. Cambridge university press, 1990

    1990

  50. [50]

    G. S. Denicol, H. Niemi, E. Molnar and D. H. Rischke,Derivation of transient relativistic fluid dynamics from the Boltzmann equation,Phys. Rev. D85(2012) 114047, [1202.4551]

    work page Pith review arXiv 2012

  51. [51]

    Hydrodynamic Transport Coefficients in Relativistic Scalar Field Theory

    S. Jeon,Hydrodynamic transport coefficients in relativistic scalar field theory,Phys. Rev. D52 (1995) 3591–3642, [hep-ph/9409250]

    work page Pith review arXiv 1995

  52. [52]

    R. A. Janik and R. B. Peschanski,Asymptotic perfect fluid dynamics as a consequence of Ads/CFT,Phys. Rev. D73(2006) 045013, [hep-th/0512162]

    work page arXiv 2006

  53. [53]

    Bhattacharyya, S

    S. Bhattacharyya, S. Lahiri, R. Loganayagam and S. Minwalla,Large rotating AdS black holes from fluid mechanics,JHEP09(2008) 054, [0708.1770]

    work page arXiv 2008

  54. [54]

    Bhattacharyya, V

    S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani,Nonlinear Fluid Dynamics from Gravity,JHEP02(2008) 045, [0712.2456]

    work page arXiv 2008

  55. [55]

    Relativistic viscous hydrodynamics, conformal invariance, and holography,

    R. Baier, P. Romatschke, D. T. Son, A. O. Starinets and M. A. Stephanov,Relativistic viscous hydrodynamics, conformal invariance, and holography,JHEP04(2008) 100, [0712.2451]

    work page arXiv 2008

  56. [56]

    Grozdanov and N

    S. Grozdanov and N. Kaplis,Constructing higher-order hydrodynamics: The third order,Phys. Rev. D93(2016) 066012, [1507.02461]

    work page arXiv 2016

  57. [57]

    A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems

    P. Glorioso, M. Crossley and H. Liu,A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems,1812.08785. – 58 –

    work page Pith review arXiv

  58. [58]

    C. Jana, R. Loganayagam and M. Rangamani,Open quantum systems and Schwinger-Keldysh holograms,JHEP07(2020) 242, [2004.02888]

    work page arXiv 2020

  59. [59]

    Loganayagam, M

    R. Loganayagam, M. Rangamani and J. Virrueta,Holographic open quantum systems: toy models and analytic properties of thermal correlators,JHEP03(2023) 153, [2211.07683]

    work page arXiv 2023

  60. [60]

    Gu, X.-L

    Y. Gu, X.-L. Qi and D. Stanford,Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models,JHEP05(2017) 125, [1609.07832]

    work page arXiv 2017

  61. [61]

    Sachdev and J

    S. Sachdev and J. Ye,Gapless spin-fluid ground state in a random quantum heisenberg magnet, Physical Review Letters70(May, 1993) 3339–3342

    1993

  62. [62]

    Kitaev,A simple model of quantum holography,KITP strings seminar and Entanglement program (Feb

    A. Kitaev,A simple model of quantum holography,KITP strings seminar and Entanglement program (Feb. 12, April 7, and May 27)(2015)

    2015

  63. [63]

    Comments on the Sachdev-Ye-Kitaev model

    J. Maldacena and D. Stanford,Remarks on the Sachdev-Ye-Kitaev model,Phys. Rev.D94 (2016) 106002, [1604.07818]

    work page Pith review arXiv 2016

  64. [64]

    Polchinski and V

    J. Polchinski and V. Rosenhaus,The Spectrum in the Sachdev-Ye-Kitaev Model,JHEP04 (2016) 001, [1601.06768]

    work page arXiv 2016

  65. [65]

    Zanoci and B

    C. Zanoci and B. Swingle,Energy transport in Sachdev-Ye-Kitaev networks coupled to thermal baths,Phys. Rev. Res.4(2022) 023001, [2109.03268]

    work page arXiv 2022

  66. [66]

    Zanoci and B

    C. Zanoci and B. Swingle,Near-equilibrium approach to transport in complex Sachdev-Ye-Kitaev models,Phys. Rev. B105(2022) 235131, [2204.06019]

    work page arXiv 2022

  67. [67]

    Abbasi,Long-time tails in the SYK chain from the effective field theory with a large number of derivatives,JHEP04(2022) 181, [2112.12751]

    N. Abbasi,Long-time tails in the SYK chain from the effective field theory with a large number of derivatives,JHEP04(2022) 181, [2112.12751]

    work page arXiv 2022

  68. [68]

    Kitaev and S

    A. Kitaev and S. J. Suh,The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual, JHEP05(2018) 183, [1711.08467]

    work page arXiv 2018

  69. [69]

    Bucca and M

    M. Bucca and M. Mezei,Nonlinear soft mode action for the large-p SYK model,JHEP03 (2025) 089, [2412.14799]

    work page arXiv 2025

  70. [70]

    Berkooz, R

    M. Berkooz, R. Frumkin, O. Mamroud and J. Seitz,Twisted times, the Schwarzian and its deformations in DSSYK,JHEP05(2025) 080, [2412.14238]

    work page arXiv 2025

  71. [71]

    Eternal traversable wormhole

    J. Maldacena and X.-L. Qi,Eternal traversable wormhole,1804.00491

    work page Pith review arXiv

  72. [72]

    Altland, D

    A. Altland, D. Bagrets and A. Kamenev,Quantum Criticality of Granular Sachdev-Ye-Kitaev Matter,Phys. Rev. Lett.123(2019) 106601, [1903.09491]

    work page arXiv 2019

  73. [73]

    Almheiri, A

    A. Almheiri, A. Milekhin and B. Swingle,Universal constraints on energy flow and SYK thermalization,JHEP08(2024) 034, [1912.04912]

    work page arXiv 2024

  74. [74]

    Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

    J. Maldacena, D. Stanford and Z. Yang,Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,PTEP2016(2016) 12C104, [1606.01857]

    work page Pith review arXiv 2016

  75. [75]

    Milekhin,Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models,JHEP12 (2021) 114, [2102.06647]

    A. Milekhin,Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models,JHEP12 (2021) 114, [2102.06647]

    work page arXiv 2021

  76. [76]

    The second law of thermodynamics from symmetry and unitarity,

    P. Glorioso and H. Liu,The second law of thermodynamics from symmetry and unitarity, 1612.07705

    work page arXiv

  77. [77]

    A quantum hydrodynamical description for scrambling and many-body chaos

    M. Blake, H. Lee and H. Liu,A quantum hydrodynamical description for scrambling and many-body chaos,JHEP10(2018) 127, [1801.00010]. – 59 –

    work page Pith review arXiv 2018

  78. [78]

    Jain,Quantum fluctuations in hydrodynamics and quantum long-time tails,2601.22140

    A. Jain,Quantum fluctuations in hydrodynamics and quantum long-time tails,2601.22140

    work page arXiv

  79. [79]

    Mathematica file for all-order fluctuating hydrodynamics of the syk lattice

    M. Bucca, A. Jain, M. Mezei and A. Milekhin, “Mathematica file for all-order fluctuating hydrodynamics of the syk lattice.”https://github.com/markmezei/syk_hydro, 2026

    2026

  80. [80]

    C. Choi, M. Mezei and G. S´ arosi,Pole skipping away from maximal chaos,2010.08558

    work page arXiv 2010

Showing first 80 references.