Black hole collapse in the 1/c expansion
Open accessAbstract
We present a first-principles CFT calculation corresponding to the spherical collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we describe the equilibration process, from early times to thermalization, of a CFT following a sudden injection of energy at time t = 0. By formulating a continuum version of Zamolodchikov’s monodromy method to calculate conformal blocks at large central charge c, we give a framework to compute a general class of probe observables in the collapse state, incorporating the full backreaction of matter fields on the dual geometry. This is illustrated by calculating a scalar field two-point function at time-like separation and the time-dependent entanglement entropy of an interval, both showing thermalization at late times. The results are in perfect agreement with previous gravity calculations in the AdS3-Vaidya geometry. Information loss appears in the CFT as an explicit violation of unitarity in the 1/c expansion, restored by nonperturbative corrections.
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Including the one-loop fluctuation determinant around the saddle gives a prefactor leading to algebraic decay at late times.
“Considering in addition the one-loop fluctuation determinant around the saddle [11, 56] gives the prefactor”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [56]
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Asplund, C. T., Bernamonti, A., Galli, F., & Hartman, T. (2015) · Journal of High Energy Physics · doi:10.1007/jhep02(2015)171 · Cited by 280 · see citing works
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- Authors
- Anous, T., Hartman, T., Rovai, A., & Sonner, J.
- Affiliations
- Massachusetts Institute of Technology (US)
- Cornell University (US)
- University of Geneva (CH)
- Corresponding author
- Sonner, Julian
- Venue
- Journal of High Energy Physics
- Published
- 2016-07
- Volume
- 2016
- Issue
- 7
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2301702461
- Cited by
- 130
- References
- 7
- Citations by year
- 2026: 4 · 2025: 12 · 2024: 14 · 2023: 9 · 2022: 7 · 2021: 7 · 2020: 17 · 2019: 21 · 2018: 14 · 2017: 21 · 2016: 4
- FWCI
- 9.67
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- Queen Mary Research Online (Queen Mary University of London) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Funders
- National Science Foundation (No.NSF PHY11-25915, PHY11- 25915, 141869, NSF PHY-11-25915, 25915, DE-SC0012567, 0967299)
- U.S. Department of Energy (NSF PHY11-25915, DESC0012567, DESC0014123)
- Belgian American Educational Foundation
- National Centres of Competence in Research SwissMAP
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (51NF40, 141869, 25915, 162796, 200021)
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara (PHY-11-25915, NSF PHY11-25915)
- 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 › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- black hole collapse, 1/c expansion, large central charge, conformal field theory, conformal blocks, thermalization, entanglement entropy, information loss, unitarity violation, backreaction, three-dimensional quantum gravity
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