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Chaos in Classical D0-Brane Mechanics

Authors
  • Gur-Ari, Guy
  • Hanada, Masanori
  • Shenker, Stephen H.
Type
Preprint
Publication Date
Jan 13, 2016
Submission Date
Nov 30, 2015
Identifiers
DOI: 10.1007/JHEP02(2016)091
Source
arXiv
License
Yellow
External links

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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