Estimating Quantum Gravity Corrections to Correlators near Black Holes

Fuente: arXiv
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Main Authors: Freivogel, Ben, Li, Tianyi
Format: Preprint
Published: 2024
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author Freivogel, Ben
Li, Tianyi
author_facet Freivogel, Ben
Li, Tianyi
contents We analyze the size of quantum gravity effects near black hole horizons. By considering black holes in asymptotically AdS spacetime, we can make use of the "quantum deviation" to estimate the size of quantum gravity corrections to the semiclassical analysis. We find that, in a typical pure state, corrections to correlation functions are typically of order exp(-S/2). Both the magnitude and time dependence of the correlator differ from previous results related to the spectral form factor, which estimated the correlator in a thermal state. Our results severely constrain proposals, such as non-violent unitarization and some versions of fuzzballs, that predict significant corrections to the semiclassical computation of correlation functions near black holes. We point out one possible loophole: our results rely on the standard result that bulk reconstruction is state independent for small perturbations outside the black hole.
format Preprint
id arxiv_https___arxiv_org_abs_2405_17570
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Estimating Quantum Gravity Corrections to Correlators near Black Holes
Freivogel, Ben
Li, Tianyi
High Energy Physics - Theory
We analyze the size of quantum gravity effects near black hole horizons. By considering black holes in asymptotically AdS spacetime, we can make use of the "quantum deviation" to estimate the size of quantum gravity corrections to the semiclassical analysis. We find that, in a typical pure state, corrections to correlation functions are typically of order exp(-S/2). Both the magnitude and time dependence of the correlator differ from previous results related to the spectral form factor, which estimated the correlator in a thermal state. Our results severely constrain proposals, such as non-violent unitarization and some versions of fuzzballs, that predict significant corrections to the semiclassical computation of correlation functions near black holes. We point out one possible loophole: our results rely on the standard result that bulk reconstruction is state independent for small perturbations outside the black hole.
title Estimating Quantum Gravity Corrections to Correlators near Black Holes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.17570