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Correlators of double scaled SYK at one-loop

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arxiv 2303.07552 v1 pith:2YX5VXOG submitted 2023-03-14 hep-th

classification hep-th
keywords one-loopfour-pointactionarbitrarychordclarifycomponentcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper, we study one-loop contributions in the double-scaling limit of the SYK model from the chord diagrams and Liouville type effective action. We compute and clarify the meaning of each component consisting of the one-loop corrections for the two- and time-ordered four-point functions of light operators. We also reproduce the exact expression of the out-of-time-ordered four-point function at arbitrary temperatures within the one-loop level, which were previously computed from different methods.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modular structures in the DSSYK partition function

    hep-th 2026-07 unverdicted novelty 7.0 of 10

    The low-temperature DSSYK partition function is organized by quasi-modular Eisenstein series, obeys an exact heat-type differential equation, and its non-perturbative sector is supported on triangular exponents matchi...

  2. Twisted times, the Schwarzian and its deformations in DSSYK

    hep-th 2024-12 conditional novelty 7.0 of 10

    The soft modes of double-scaled SYK are reparametrizations of twisted time coordinates; their effective action is the nonlinear Schwarzian, and deformations yield multi-field Liouville theories with computable low-ene...

  3. Three-loop onset of the wormhole length in DSSYK

    hep-th 2026-08 conditional novelty 6.0 of 10

    The wormhole-length onset L0 in DSSYK is derived in closed form through three loops, with new two- and three-loop coefficients from a new exact recursion.

  4. Probing the singularity at the holographic screen via $q$-holography

    hep-th 2025-07 conditional novelty 6.0 of 10

    The probe-regime two-point function of sinh dilaton gravity matches the q-deformed Ward identity correlator, indicating an emergent quantum hyperbolic disk with SLq(2) isometry near the holographic boundary.

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