Chaos in the gauge/gravity correspondence
Chaos in the gauge/gravity correspondence
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DOI：
10.1007/jhep09(2010)094
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发表时间：
2010-07
影响因子：
5.4
通讯作者：
L. P. Pando Zayas;C. A. Terrero-Escalante
中科院分区：
文献类型：
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作者：
L. P. Pando Zayas;C. A. Terrero-Escalante
我们应用标准动力系统库研究了AdS 5中史瓦西黑洞背景下弦的运动。我们对相空间的描述包括：功率谱、最大李亚普诺夫指数、庞加莱剖面和引力盆地。我们找到了令人信服的证据，证明运动是混沌的。我们讨论了一些与混沌系统有关的量对规范/重力对应方面的影响。特别是，我们提出了一些与信息丢失悖论的潜在关联。
We study the motion of a string in the background of the Schwarzschild black hole in AdS 5 by applying the standard arsenal of dynamical systems. Our description of the phase space includes: the power spectrum, the largest Lyapunov exponent, Poincare sections and basins of attractions. We find convincing evidence that the motion is chaotic. We discuss the implications of some of the quantities associated with chaotic systems for aspects of the gauge/gravity correspondence. In particular, we suggest some potential relevance for the information loss paradox.