Statistical mechanics of a two-dimensional black hole
Open accessAbstract
The dynamics of a nearly-AdS 2 spacetime with boundaries is reduced to that of two particles in the anti-de Sitter space. We determine the class of physically meaningful wavefunctions, and prescribe the statistical mechanics of a black hole. We demonstrate how wavefunctions for a two-sided black hole and a regularized notion of trace can be used to construct thermal partition functions, and more generally, arbitrary density matrices. We also obtain correlation functions of external operators.
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These correlators were later reproduced using a variety of approaches by Blommaert et al. (2018); Iliesiu et al. (2019) using the BF approach and by Kitaev and Suh (2019), Yang (2019), Suh (2020) using the particle in a magnetic field perspective on JT gravity.
“These correlators were later reproduced using a variety of approaches by Blommaert et al. (2018); Iliesiu et al. (2019) using the BF approach and by Kitaev and Suh (2019), Yang (2019), Suh (2020) using the particle in a magnetic field perspective on JT gravity, proposed by Kitaev in 2016.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Kitaev and Suh (2019)
The GHY boundary term of the gravity path integral can be rewritten using the 2d Gauss-Bonnet theorem into a worldline path integral, which is a non-relativistic particle in 2d hyperbolic space in an imaginary infinite magnetic field.
“A different approach uses a direct rewriting of the GHY boundary term of the gravity path integral using the 2d Gauss–Bonnet theorem into a worldline path integral as (Kitaev and Suh 2019; Yang 2019; Suh 2020):3.83which is a non-relativistic particle in 2d hyperbolic space (T, Z) in an imaginary infinite magnetic field.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Kitaev and Suh 2019
Cites
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Replica wormholes and the black hole interior
Penington, G., Shenker, S. H., Stanford, D., & Yang, Z. (2019) · arXiv · doi:10.48550/arxiv.1911.11977 · Cited by 809
Replica wormholes and the black hole interior
Penington, G., Shenker, S. H., Stanford, D., & Yang, Z. (2022) · Journal of High Energy Physics · doi:10.1007/jhep03(2022)205 · Cited by 807 · see citing works
“1) Using the boundary particle formalism [58, 59], the integral measure in general is the following (xi, zi is the location of the insertion of brane):”
BackgroundMethodTwo dimensional nearly de Sitter gravity
Maldacena, J., Turiaci, G. J., & Yang, Z. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)139 · Cited by 190 · see citing works
The statistical mechanics of near-extremal black holes
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- Authors
- Kitaev, A., & Suh, S. J.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Suh, S. Josephine
- ORCID
- Suh, S. Josephine
- Venue
- Journal of High Energy Physics
- Published
- 2019-05
- Volume
- 2019
- Issue
- 5
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2888292775
- Cited by
- 165
- References
- 4
- Citations by year
- 2026: 8 · 2025: 17 · 2024: 13 · 2023: 27 · 2022: 27 · 2021: 23 · 2020: 32 · 2019: 17 · 2018: 1
- FWCI
- 12.84
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1607611)
- Simons Foundation (PHY-1607611, 376205)
- Gordon and Betty Moore Foundation
- Aspen Center for Physics (PHY1607611, 1607611)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- two-dimensional black holes, anti-de Sitter space, wave functions, thermal partition function, density matrix, correlation functions
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