English

Imprint of the black hole singularity on thermal two-point functions

High Energy Physics - Theory 2026-04-30 v2 General Relativity and Quantum Cosmology High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.2510.21673,
  title  = {Imprint of the black hole singularity on thermal two-point functions},
  author = {Nima Afkhami-Jeddi and Simon Caron-Huot and Joydeep Chakravarty and Alexander Maloney},
  journal= {arXiv preprint arXiv:2510.21673},
  year   = {2026}
}

Comments

Longer version. Minor change in abstract, added some explanatory text and Fig. 7, and merged appendices into main text