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arXiv · 2412.05267

Amplitudes for Hawking Radiation

Rafael Aoude·Donal O'Connell·Matteo Sergola
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Abstract

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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Rafael Aoude, Donal O'Connell, Matteo Sergola. 2024-12-06. Amplitudes for Hawking Radiation. https://arxiv.org/abs/2412.05267

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