Journal Article Chaos in classical D0-brane mechanics

Gur-Ari, Guy  ,  Hanada, Masanori  ,  Shenker, Stephen H.

20162016-02 , Springer Berlin Heidelberg
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.

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