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.
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Acknowledgments
This work was supported in part by JSPS Grant-in-Aid for Transformative Research Areas (A) “Extreme Universe” 21H05187. KO was also supported by JSPS KAKENHI Grant 22K03594. The work of KS is also supported by JSPS KAKENHI Grant No. 23K13105.
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Okuyama, K., Suzuki, K. Correlators of double scaled SYK at one-loop. J. High Energ. Phys. 2023, 117 (2023). https://doi.org/10.1007/JHEP05(2023)117
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DOI: https://doi.org/10.1007/JHEP05(2023)117