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Journal of High Energy Physics

, 2016:91 | Cite as

Chaos in classical D0-brane mechanics

  • Guy Gur-AriEmail author
  • Masanori Hanada
  • Stephen H. Shenker
Open Access
Regular Article - Theoretical Physics
First Online:

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.

Keywords

Brane Dynamics in Gauge Theories Gauge Symmetry 1/N Expansion 
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Open Access

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.

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Copyright information

© The Auhtor(s) 2016

Authors and Affiliations

  • Guy Gur-Ari
    • 1
    Email author
  • Masanori Hanada
    • 1
    • 2
    • 3
  • Stephen H. Shenker
    • 1
  1. 1.Stanford Institute for Theoretical PhysicsStanford UniversityStanfordU.S.A.
  2. 2.Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  3. 3.The Hakubi Center for Advanced ResearchKyoto UniversityKyotoJapan

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