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Title: Chaos in classical D0-brane mechanics
Authors: Gur-Ari, Guy
Hanada, Masanori
Shenker, Stephen H.
Author's alias: 花田, 政範
Keywords: Brane Dynamics in Gauge Theories
Gauge Symmetry
1/N Expansion
Issue Date: Feb-2016
Publisher: Springer Berlin Heidelberg
Journal title: Journal of High Energy Physics
Volume: 2016
Thesis number: 091
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 → ∞. We show that a classical analog of scrambling occurs with fast scrambling scaling, t∗ ∼ log S. These results confirm the k-locality property of matrix mechanics discussed by Sekino and Susskind.
Rights: © 2016, The Auhtor(s). This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
URI: http://hdl.handle.net/2433/210362
DOI(Published Version): 10.1007/JHEP02(2016)091
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