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Peer-reviewedCC BY 4.0Journal of High Energy Physics

The ABCs of amplitudes, Bogoliubov and crossing

  • Rafael Aoude1
  • Asaad Elkhidir1,2
  • Anton Ilderton1
  • Donal O’Connell1
  • Karthik Rajeev1
  1. 1The University of Edinburgh
  2. 2Institut des Hautes Études Scientifiques
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Abstract

A bstract : 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.

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Cite

BibTeXRIS
BibTeX
@article{aoude2026abcs,
  title = {{The ABCs of amplitudes, Bogoliubov and crossing}},
  author = {Rafael Aoude and Asaad Elkhidir and Anton Ilderton and Donal O’Connell and Karthik Rajeev},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)015},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)015},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - The ABCs of amplitudes, Bogoliubov and crossing
AU  - Rafael Aoude
AU  - Asaad Elkhidir
AU  - Anton Ilderton
AU  - Donal O’Connell
AU  - Karthik Rajeev
PY  - 2026
DA  - 2026/11/02
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)015
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)015
AB  - A bstract : 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.
SN  - 1029-8479
ER  -