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arXiv · 1512.00019

Chaos in Classical D0-Brane Mechanics

Guy Gur-Ari·Masanori Hanada·Stephen H. Shenker
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Abstract

We study chaos in the classical limit of the matrix quantum mechanical system describing D0-brane dynamics. We determine a precise value of the largest Lyapunov exponent, and, with less precision, calculate the entire spectrum of Lyapunov exponents. We verify that these approach a smooth limit as $N \rightarrow \infty$. We show that a classical analog of scrambling occurs with fast scrambling scaling, $t_* \sim \log S$. These results confirm the k-locality property of matrix mechanics discussed by Sekino and Susskind.

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Guy Gur-Ari, Masanori Hanada, Stephen H. Shenker. 2016-01-13. Chaos in Classical D0-Brane Mechanics. https://doi.org/10.1007/jhep02(2016)091

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