Black Hole Collapse in the 1/c Expansion
Mar 15, 2016
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Abstract: (Springer)
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 AdS-Vaidya geometry. Information loss appears in the CFT as an explicit violation of unitarity in the 1/c expansion, restored by nonperturbative corrections.Note:
- 39 pages, references added, corresponds with published version
- AdS-CFT Correspondence
- Black Holes
- Gauge-gravity correspondence
- field theory: conformal
- black hole: collapse
- entanglement: time dependence
- correction: nonperturbative
- entropy: entanglement
- field theory: scalar
- unitarity: violation
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