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Peer-reviewedCC BYPhysical review. D/Physical review. D.

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

  1. 1McGill University
  2. 2Syracuse University

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 anti–de Sitter 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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BibTeX
@article{afkhamijeddi2026imprint,
  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 = {Physical review. D/Physical review. D.},
  year = {2026},
  month = jun,
  doi = {10.1103/1j3s-fzjl},
  url = {https://doi.org/10.1103/1j3s-fzjl},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Imprint of the black hole singularity on thermal two-point functions
AU  - Nima Afkhami-Jeddi
AU  - Simon Caron-Huot
AU  - Joydeep Chakravarty
AU  - Alexander Maloney
PY  - 2026
DA  - 2026/06/11
JO  - Physical review. D/Physical review. D.
DO  - 10.1103/1j3s-fzjl
UR  - https://doi.org/10.1103/1j3s-fzjl
AB  - 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 anti–de Sitter 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.
SN  - 2470-0010
SN  - 2470-0029
SN  - 2470-0037
ER  -