Correlators of double scaled SYK at one-loop

Abstract

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.

arXiv comment26 pages, 1 figure

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• Scaling limits of complex Sachdev-Ye-Kitaev models and holographic geometry
• Holographic tensor network for double-scaled SYK
• Unveiling Novel Insights in Quantum Dynamics through Extended Sachdev-Ye-Kitaev Model