Black hole collapse in the 1/c expansion
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Author(s) • • •
Anous, Tarek
Hartman, Thomas
Rovai, Antonin
Sonner, Julian
Date Issued
July 2016
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Anous, Tarek, Thomas Hartman, Antonin Rovai, and Julian Sonner. "Black hole collapse in the 1/c expansion." Journal of High Energy Physics 2016:123 (July 2016), pp. 1-31.
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1007/JHEP07(2016)123