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Main Authors: Aoki, Katsuki, Cristofoli, Andrea, Jeong, Hyun, Sergola, Matteo, Yoshimura, Kaho
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.12111
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author Aoki, Katsuki
Cristofoli, Andrea
Jeong, Hyun
Sergola, Matteo
Yoshimura, Kaho
author_facet Aoki, Katsuki
Cristofoli, Andrea
Jeong, Hyun
Sergola, Matteo
Yoshimura, Kaho
contents We develop a framework based on modern amplitude techniques to analyze emission and absorption effects in black hole physics, including Hawking radiation. We first discuss quantum field theory on a Schwarzschild background in the Boulware and Unruh vacua, and introduce the corresponding $S$-matrices. We use this information to determine on-shell absorptive amplitudes describing processes where a black hole transitions to a different mass state by absorbing or emitting quanta, to all orders in gravitational coupling. This on-shell approach allows for a universal description of black holes, with their intrinsic differences encapsulated in the discontinuities of the amplitudes, without suffering from off-shell ambiguities such as gauge freedom. Furthermore, the absorptive amplitudes serve as building blocks to describe physics beyond that of isolated black holes. As applications, we find that the Hawking thermal spectrum is well understood by three-point processes. We also consider a binary system and compute the mass shift of a black hole induced by the motion of a companion object, including quantum effects. We show that the mean value of the mass shift is classical and vacuum-independent, while its variance differs depending on the vacuum choice. Our results provide confirmation of the validity of the on-shell program in advancing our understanding of black hole physics.
format Preprint
id arxiv_https___arxiv_org_abs_2509_12111
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Effects for Black Holes with On-Shell Amplitudes
Aoki, Katsuki
Cristofoli, Andrea
Jeong, Hyun
Sergola, Matteo
Yoshimura, Kaho
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We develop a framework based on modern amplitude techniques to analyze emission and absorption effects in black hole physics, including Hawking radiation. We first discuss quantum field theory on a Schwarzschild background in the Boulware and Unruh vacua, and introduce the corresponding $S$-matrices. We use this information to determine on-shell absorptive amplitudes describing processes where a black hole transitions to a different mass state by absorbing or emitting quanta, to all orders in gravitational coupling. This on-shell approach allows for a universal description of black holes, with their intrinsic differences encapsulated in the discontinuities of the amplitudes, without suffering from off-shell ambiguities such as gauge freedom. Furthermore, the absorptive amplitudes serve as building blocks to describe physics beyond that of isolated black holes. As applications, we find that the Hawking thermal spectrum is well understood by three-point processes. We also consider a binary system and compute the mass shift of a black hole induced by the motion of a companion object, including quantum effects. We show that the mean value of the mass shift is classical and vacuum-independent, while its variance differs depending on the vacuum choice. Our results provide confirmation of the validity of the on-shell program in advancing our understanding of black hole physics.
title Quantum Effects for Black Holes with On-Shell Amplitudes
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.12111