期刊
PHYSICAL REVIEW D
卷 84, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.106012
关键词
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资金
- MEC
- FEDER [FPA2009-07908]
- Spanish Consolider-Ingenio [CSD2007-00042]
- Comunidad Autonoma de Madrid [HEPHACOS S2009/ESP-1473]
- MICINN
Fast scramblers process information in characteristic times scaling logarithmically with the entropy, a behavior which has been conjectured for black hole horizons. In this paper we use the AdS/CFT context to argue that causality bounds on information flow only depend on the properties of a single thermal cell, and admit a geometrical interpretation in terms of the optical depth, i.e. the thickness of the Rindler region in the so-called optical metric. The spatial sections of the optical metric are well approximated by constant-curvature hyperboloids. We use this fact to propose an effective kinetic model of scrambling which behaves like a compact hyperbolic billiard, furnishing a classic example of hard chaos. It is suggested that classical chaos at large N is a crucial ingredient in reconciling the notion of fast scrambling with the required saturation of causality.
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