Hawking radiation from Feynman diagrams

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.

black hole
radiation: Hawking
photon: scattering
S-matrix
photon: energy
Feynman graph
back reaction
scattering amplitude
dimension: 2

References(22)

Figures(0)

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

The Mechanism of Black Body Radiation from an Incipient Black Hole

U.H. Gerlach
(
- Ohio State U.
)

- Phys.Rev.D 14 (1976) 1479-1508
•
DOI:
- 10.1103/PhysRevD.14.1479

Physical interpretation of black hole evaporation as a vacuum instability

R. Parentani
(
- Brussels U.
)
,
R. Brout
(
- Brussels U.
)

- Int.J.Mod.Phys.D 1 (1992) 169-191
•
DOI:
- 10.1142/S0218271892000082

On the Quantum Structure of a Black Hole

Gerard 't Hooft
(
- Utrecht U.
)

- Nucl.Phys.B 256 (1985) 727-745
•
DOI:
- 10.1016/0550-3213(85)90418-3

The Scattering matrix approach for the quantum black hole: An Overview

Gerard 't Hooft
(
- Utrecht U.
)

- Int.J.Mod.Phys.A 11 (1996) 4623-4688
•
e-Print:
- gr-qc/9607022
•
DOI:
- 10.1142/S0217751X96002145

Black hole evaporation and ultrashort distances

Theodore Jacobson
(
- Maryland U.
)

- Phys.Rev.D 44 (1991) 1731-1739
•
DOI:
- 10.1103/PhysRevD.44.1731

Black hole horizons and complementarity

Youngjai Kiem
(
- Princeton U. and
- Amsterdam U.
)
,
Herman L. Verlinde
(
- Princeton U. and
- Amsterdam U.
)
,
Erik P. Verlinde
(
- CERN and
- Utrecht U.
)

- Phys.Rev.D 52 (1995) 7053-7065
•
e-Print:
- hep-th/9502074
•
DOI:
- 10.1103/PhysRevD.52.7053

From vacuum fluctuations to radiation. 2. Black holes

S. Massar
(
- Tel Aviv U.
)
,
R. Parentani
(
- Tours U.
)

- Phys.Rev.D 54 (1996) 7444-7458
•
DOI:
- 10.1103/PhysRevD.54.7444

On the Detection of Particle and Energy Fluxes in Two-dimensions

P.G. Grove
(
- Home Office, London
)

- Class.Quant.Grav. 3 (1986) 793-800,
- Class. Quantum Grav. 3 ( 1986) 793-800
•
DOI:
- 10.1088/0264-9381/3/5/009

REFLECTIONS ON MOVING MIRRORS

- Phys.Rev.D 36 (1987) 2327-2335
•
DOI:
- 10.1103/PhysRevD.36.2327

Quantum purity at a small price: Easing a black hole paradox

Frank Wilczek
(
- Princeton, Inst. Advanced Study
)

- ,
- In *Houston 1992, Proceedings, Black holes, membranes, wormholes and superstrings* 1-21, and Inst. Adv. Stud. Princeton - IASSNS-HEP-93-012 (93/02,rec.Mar.) 19 p. (306377)
•
e-Print:
- hep-th/9302096