Journal Article Chaos in classical D0-brane mechanics

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

20162016-02 , Springer Berlin Heidelberg
ISSN:1029-8479
NCID:AA1188279X
Description
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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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/210362/1/JHEP02%282016%29091.pdf

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