Chaotic fast scrambling at black holes

被引:28
作者
Barbon, Jose L. F. [1 ]
Magan, Javier M. [1 ]
机构
[1] Inst Fis Teor IFT UAM CSIC, E-28049 Madrid, Spain
来源
PHYSICAL REVIEW D | 2011年 / 84卷 / 10期
关键词
HORIZON; STRINGS;
D O I
10.1103/PhysRevD.84.106012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
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页数:8
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