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Scalar field quantization on the (2+1)-dimensional black hole background
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The Green function of the quantum scalar field in the BTZ background is in the Hartle-Hawking state, satisfying the Kubo-Martin-Schwinger (KMS) condition at the black hole temperature.
“In any case, the Green function of the quantum scalar field in the BTZ background is in the Hartle-Hawking state, satisfying the Kubo-Martin-Schwinger (KMS) condition at the black hole temperature [42].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [42]
The Green's function from which ⟨T^ij⟩ is derived (in the perturbative treatment) is periodic in imaginary time with a period given by the (inverse) Tolman temperature.
“Indeed, the Green's function from which ⟨T ij ⟩ is derived (in the perturbative treatment) is periodic in imaginary time with a period given by the (inverse) Tolman temperature [42].”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [42]
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Citations
Cites
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Cited by
Sorted by citations
Eternal black holes in anti-de Sitter
Maldacena, J. (2003) · Journal of High Energy Physics · doi:10.1088/1126-6708/2003/04/021 · Cited by 1,555
The (2 + 1)-dimensional black hole
Carlip, S. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/12/005 · Cited by 609
Scalar wave falloff in asymptotically anti–de Sitter backgrounds
Chan, J. S. F., & Mann, R. B. (1997) · Physical Review D · doi:10.1103/physrevd.55.7546 · Cited by 186
Three-Dimensional Quantum Black Holes: A Primer
Panella, E., Pedraza, J. F., & Svesko, A. (2024) · Universe · doi:10.3390/universe10090358 · Cited by 24
Metadata
- Authors
- Lifschytz, G., & Ortiz, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1994-02-15
- Volume
- 49
- Issue
- 4
- Pages
- 1929-1943
- ISSN
- 0556-2821
- Cited by
- 125
- References
- 3
- Language
- en
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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