Abstract
Using the AdS/CFT correspondence we model the behaviour of the two-point correlator of an operator with arbitrary scale dimension ∆ in arbitrary spacetime dimension d for small but non-zero temperature. The obtained propagator coincides in the low temperature regime with the known result for d = 4 for large ∆ at the order Td as well as with the Td and T 2d terms of the exact all order result for d = 2. Furthermore, for arbitrary d we explicitly write down the expression for the order Td of the propagator for arbitrary ∆, and present a conjecture for the order T2d in the large ∆ limit.
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Acknowledgments
We thank Sašo Grozdanov for many illuminating discussions on subjects relating this work, Vasil Avramov for pointing out and clarifying some aspects of reference [9], Jorge Russo for very important remarks and Enrico Parisini, Kostas Skenderis, Benjamin Withers and Kuo-Wei Huang for useful correspondence. BB acknowledges the financial support from the Slovenian Research Agency (research core funding No. P1-0035). AL acknowledges the financial support from CONICET through PIP 02229 and PUE084, and from La Plata University-11/X910. BB (AL) thanks the Physics Department of La Plata University (Jožef Stefan Institute) for hospitality.
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Bajc, B., Lugo, A.R. Holographic thermal propagator for arbitrary scale dimensions. J. High Energ. Phys. 2023, 103 (2023). https://doi.org/10.1007/JHEP05(2023)103
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DOI: https://doi.org/10.1007/JHEP05(2023)103