Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2021)082
Keywords
AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Higher Dimensions
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Funding
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [787185]
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In this paper, weakly-coupled QFT in AdS at finite temperature is considered, and the holographic thermal two-point function of scalar operators in the boundary theory is computed. Analytic expressions for leading corrections due to local quartic interactions in the bulk are presented, with an arbitrary number of derivatives and for any number of spacetime dimensions. The solutions are fixed by judiciously picking an ansatz and imposing consistency conditions, and a simple dispersion relation for thermal two-point functions is derived, reconstructing the function from its discontinuity.
We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic interactions in the bulk, with an arbitrary number of derivatives and for any number of spacetime dimensions. The solutions are fixed by judiciously picking an ansatz and imposing consistency conditions. The conditions include analyticity properties, consistency with the operator product expansion, and the Kubo-Martin-Schwinger condition. For the case without any derivatives we show agreement with an explicit diagrammatic computation. The structure of the answer is suggestive of a thermal Mellin amplitude. Additionally, we derive a simple dispersion relation for thermal two-point functions which reconstructs the function from its discontinuity.
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