Scalar field quantization on the (2+1)-dimensional black hole background - INSPIRE

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Scalar field quantization on the (2+1)-dimensional black hole background

Gilad Lifschytz
(
- MIT, LNS
)
,
Miguel Ortiz
(
- MIT, LNS
)

Oct 5, 1993

25 pages

Published in:

Phys.Rev.D 49 (1994) 1929-1943

e-Print:

gr-qc/9310008 [gr-qc]

DOI:

10.1103/PhysRevD.49.1929

Report number:

MIT-CTP-2243

View in:

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Abstract: (arXiv)

The quantization of a massless conformally coupled scalar field on the 2+1 dimensional Anti de Sitter black hole background is presented. The Green's function is calculated, using the fact that the black hole is Anti de Sitter space with points identified, and taking into account the fact that the black hole spacetime is not globally hyperbolic. It is shown that the Green's function calculated in this way is the Hartle-Hawking Green's function. The Green's function is used to compute , which is regular on the black hole horizon, and diverges at the singularity. A particle detector response function outside the horizon is also calculated and shown to be a fermi type distribution. The backreaction from is calculated exactly for the vacuum spacetime (with zero mass) and is shown to give rise to a curvature singularity at r=0 shielded by a horizon, indicating that the endpoint of evaporation should be regarded as a spacetime with a horizon.

space-time: de Sitter
field theory: scalar
dimension: 2
dimension: 3
invariance: conformal
black hole
quantization
n-point function: 2

References(20)

Figures(0)

Path Integral Derivation of Black Hole Radiance

J.B. Hartle
(
- UC, Santa Barbara and
- Caltech and
- Cambridge U.
)
,
S.W. Hawking
(
- UC, Santa Barbara and
- Caltech and
- Cambridge U.
)

- Phys.Rev.D 13 (1976) 2188-2203
•
DOI:
- 10.1103/PhysRevD.13.2188

The Black hole in three-dimensional space-time

Maximo Banados
(
- CECS, Valdivia and
- Chile U., Santiago
)
,
Claudio Teitelboim
(
)
,
Jorge Zanelli
(
- CECS, Valdivia and
- Chile U., Santiago
)

- Phys.Rev.Lett. 69 (1992) 1849-1851
•
e-Print:
- hep-th/9204099
•
DOI:
- 10.1103/PhysRevLett.69.1849

Geometry of the (2+1) black hole

Maximo Banados
(
- CECS, Valdivia and
- Chile U., Beauchef and
- Brussels U. and
- Princeton, Inst. Advanced Study
)
,
Marc Henneaux
(
- CECS, Valdivia and
- Brussels U.
)
,
Claudio Teitelboim
(
)
,
Jorge Zanelli
(
- CECS, Valdivia and
- Chile U., Beauchef
)

- Phys.Rev.D 48 (1993) 1506-1525,
- Phys.Rev.D 88 (2013) 069902 (erratum)
•
e-Print:
- gr-qc/9302012
•
DOI:
- 10.1103/PhysRevD.48.1506

Thermodynamics of event horizons in (2+1)-dimensional gravity

B. Reznik
(
- Tel Aviv U.
)

- Phys.Rev.D 45 (1992) 2151-2154
•
DOI:
- 10.1103/PhysRevD.45.2151

Gravitationally collapsing dust in (2+1)-dimensions

S.F. Ross
(
- Waterloo U.
)
,
Robert B. Mann
(
- Waterloo U.
)

- Phys.Rev.D 47 (1993) 3319-3322
•
e-Print:
- hep-th/9208036
•
DOI:
- 10.1103/PhysRevD.47.3319

Exact three-dimensional black holes in string theory

- Phys.Rev.Lett. 71 (1993) 328-331
•
e-Print:
- hep-th/9302126
•
DOI:
- 10.1103/PhysRevLett.71.328

Miens of the three-dimensional black hole

Nemanja Kaloper
(
- Alberta U.
)

- Phys.Rev.D 48 (1993) 2598-2605
•
e-Print:
- hep-th/9303007
•
DOI:
- 10.1103/PhysRevD.48.2598

Quantum Field Theory in anti-De Sitter Space-Time

S.J. Avis
(
- Imperial Coll., London
)
,
C.J. Isham
(
- Imperial Coll., London
)
,
D. Storey
(
- Imperial Coll., London
)

- Phys.Rev.D 18 (1978) 3565
•
DOI:
- 10.1103/PhysRevD.18.3565

Alternative Vacuum States in Static Space-Times with Horizons

S.A. Fulling
(
- King's Coll. London
)

- J.Phys.A 10 (1977) 917-951
•
DOI:
- 10.1088/0305-4470/10/6/014

Black Holes and Thermal Green's Functions

G.W. Gibbons
(
- Cambridge U.
)
,
M.J. Perry
(
- Cambridge U.
)

- Proc.Roy.Soc.Lond.A 358 (1978) 467-494,
•
DOI:
- 10.1098/rspa.1978.0022

Statistical mechanical theory of irreversible processes. 1. General theory and simple applications in magnetic and conduction problems

Ryogo Kubo
(
- Tokyo U.
)

- J.Phys.Soc.Jap. 12 (1957) 570-586
•
DOI:
- 10.1143/JPSJ.12.570

Theory of many particle systems. 1.

Paul C. Martin
(
- Harvard U.
)
,
Julian S. Schwinger
(
- Harvard U.
)

- Phys.Rev. 115 (1959) 1342-1373,
•
DOI:
- 10.1103/PhysRev.115.1342

Notes on black hole evaporation

W.G. Unruh
(
- McMaster U.
)

- Phys.Rev.D 14 (1976) 870
•
DOI:
- 10.1103/PhysRevD.14.870

Vacuum Polarization in Schwarzschild Space-Time

P. Candelas
(
- Texas U.
)

- Phys.Rev.D 21 (1980) 2185-2202
•
DOI:
- 10.1103/PhysRevD.21.2185

Cosmological Event Horizons, Thermodynamics, and Particle Creation

G.W. Gibbons
(
- Cambridge U.
)
,
S.W. Hawking
(
- Cambridge U.
)

- Phys.Rev.D 15 (1977) 2738-2751
•
DOI:
- 10.1103/PhysRevD.15.2738

Theory of Particle Detection in Curved Space-Times

P. Hajicek
(
- Munich, Max Planck Inst.
)

- Phys.Rev.D 15 (1977) 2757-2774
•
DOI:
- 10.1103/PhysRevD.15.2757

Gauge formulation of the spinning black hole in (2+1)-dimensional anti-De Sitter space

- Phys.Rev.D 48 (1993) 3606-3610
•
e-Print:
- gr-qc/9211013
•
DOI:
- 10.1103/PhysRevD.48.3606

Relating black holes in two-dimensions and three-dimensions

Ana Achucarro
(
- Tufts U. and
- Basque U., Bilbao
)
,
Miguel E. Ortiz
(
- MIT, LNS
)

- Phys.Rev.D 48 (1993) 3600-3605
•
e-Print:
- hep-th/9304068
•
DOI:
- 10.1103/PhysRevD.48.3600

Photon statistics of multimode even and odd coherent light

Nadeem A. Ansari
(
- Naples U. and
- INFN, Naples
)
,
V.I. Manko
(
- Naples U. and
- INFN, Naples
)

- Phys.Rev.A 50 (1994) 1942
•
e-Print:
- hep-th/9308032
•
DOI:
- 10.1103/PhysRevA.50.1942

The Cosmological constant and volume preserving diffeomorphism invariants

Roger Brooks
(
- MIT, LNS
)

- Nucl.Phys.B 423 (1994) 197-220
•
e-Print:
- hep-th/9310007
•
DOI:
- 10.1016/0550-3213(94)90570-3