Chaos in classical D0-brane mechanics

• Gur-Ari, Guy

• Hanada, Masanori

• Shenker, Stephen H.

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.

Journal

• Journal of High Energy Physics

  Journal of High Energy Physics 2016 2016-02

  Springer Berlin Heidelberg

Keywords

• Brane Dynamics in Gauge Theories
• Gauge Symmetry
• 1/N Expansion

Details

• CRID: 1050282810809310464
• NII Article ID: 120005749913
• NII Book ID: AA1188279X
• ISSN: 10298479
• HANDLE: 2433/210362
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles