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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Amplitudes for Hawking radiation

  • Rafael Aoude1
  • Donal O’Connell1,2
  • Matteo Sergola2
  1. 1The University of Edinburgh
  2. 2Université Paris-Saclay
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Abstract

A bstract : We obtain the Hawking spectrum by exponentiating a series of Feynman diagrams describing a scalar field scattering through a collapse background. Our approach is rooted in semiclassical methods of scattering amplitudes which have recently been developed for application to gravitational-wave physics. The diagrams we encounter do not compute a standard amplitude, but rather an in-in generalisation of an amplitude which is closely connected to the Bogoliubov coefficients. We also compute the subdominant one-loop correction in our perturbative approach, analogous to the triangle correction to Schwarzschild scattering. This term can be interpreted as a finite-size correction sensitive to the radius of the black hole.

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Cite

BibTeXRIS
BibTeX
@article{aoude2026amplitudes,
  title = {{Amplitudes for Hawking radiation}},
  author = {Rafael Aoude and Donal O’Connell and Matteo Sergola},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)009},
  url = {https://link.springer.com/10.1007/JHEP10(2026)009},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Amplitudes for Hawking radiation
AU  - Rafael Aoude
AU  - Donal O’Connell
AU  - Matteo Sergola
PY  - 2026
DA  - 2026/10/01
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)009
UR  - https://link.springer.com/10.1007/JHEP10(2026)009
AB  - A bstract : We obtain the Hawking spectrum by exponentiating a series of Feynman diagrams describing a scalar field scattering through a collapse background. Our approach is rooted in semiclassical methods of scattering amplitudes which have recently been developed for application to gravitational-wave physics. The diagrams we encounter do not compute a standard amplitude, but rather an in-in generalisation of an amplitude which is closely connected to the Bogoliubov coefficients. We also compute the subdominant one-loop correction in our perturbative approach, analogous to the triangle correction to Schwarzschild scattering. This term can be interpreted as a finite-size correction sensitive to the radius of the black hole.
SN  - 1029-8479
ER  -