Hawking Radiation from Feynman Diagrams

Details Hawking Radiation from Feynman Diagrams Hawking Radiation from Feynman Diagrams

1999-04-09

arxiv.org/abs/gr-qc/9904024v1

Phys.Rev. D61 (2000) 027501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, revtex, no figures

Scientific paper

10.1103/PhysRevD.61.027501

The aim of this letter is to clarify the relationships between Hawking radiation and the scattering of light by matter falling into a black hole. To this end we analyze the S-matrix elements of a model composed of a massive infalling particle (described by a quantized field) and the radiation field. These fields are coupled by current-current interactions and propagate in the Schwarzschild geometry. As long as the photons energy is much smaller than the mass of the infalling particle, one recovers Hawking radiation since our S-matrix elements identically reproduce the Bogoliubov coefficients obtained by treating the trajectory of the infalling particle classically. But after a brief period, the energy of the `partners' of Hawking photons reaches this mass and the production of thermal photons through these interactions stops. The implications of this result are discussed.

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