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Main Authors: Aoude, Rafael, Elkhidir, Asaad, Ilderton, Anton, O'Connell, Donal, Rajeev, Karthik
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2603.17903
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author Aoude, Rafael
Elkhidir, Asaad
Ilderton, Anton
O'Connell, Donal
Rajeev, Karthik
author_facet Aoude, Rafael
Elkhidir, Asaad
Ilderton, Anton
O'Connell, Donal
Rajeev, Karthik
contents It is now common to describe classical backgrounds involving dynamical black holes with the production of gravitational radiation using the methods of scattering amplitudes. In that light, we revisit the standard formulation of quantum field theory on a background. We discuss the interpretation of Bogoliubov coefficients as generalised amplitudes, and explain how crossing, analyticity, and causality relate the relevant set of amplitudes. When the background is itself a coherent state, we map these statements onto standard results in flat-space quantum field theory.
format Preprint
id arxiv_https___arxiv_org_abs_2603_17903
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The ABCs of Amplitudes, Bogoliubov and Crossing
Aoude, Rafael
Elkhidir, Asaad
Ilderton, Anton
O'Connell, Donal
Rajeev, Karthik
High Energy Physics - Theory
It is now common to describe classical backgrounds involving dynamical black holes with the production of gravitational radiation using the methods of scattering amplitudes. In that light, we revisit the standard formulation of quantum field theory on a background. We discuss the interpretation of Bogoliubov coefficients as generalised amplitudes, and explain how crossing, analyticity, and causality relate the relevant set of amplitudes. When the background is itself a coherent state, we map these statements onto standard results in flat-space quantum field theory.
title The ABCs of Amplitudes, Bogoliubov and Crossing
topic High Energy Physics - Theory
url https://arxiv.org/abs/2603.17903