arXiv · 2510.21673
Imprint of the black hole singularity on thermal two-point functions
Abstract
We consider two-point functions of light fields at finite temperature and large real frequencies in holographic theories. The thermal system is dual to a single-sided AdS black hole. We show that the high-frequency expansion obtained from the Operator Product Expansion receives exponentially small nonperturbative corrections, which are controlled by null geodesics bouncing off the black hole singularity in the two-sided eternal black hole geometry. We develop a bulk WKB description of these bouncing geodesics and explain how to calculate reflection coefficients at the singularity.
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Nima Afkhami-Jeddi, Simon Caron-Huot, Joydeep Chakravarty, Alexander Maloney. 2025-10-24. Imprint of the black hole singularity on thermal two-point functions. https://arxiv.org/abs/2510.21673
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