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Chaos in M(atrix) Theory

1997/10/31 by I. Ya. Aref'eva, P. B. Medvedev, O. A. Rytchkov +1
Physics and Astronomy · #hep-th #cond-mat #quant-ph

paper · pdf

published as Chaos Solitons Fractals 10 (1999) 213-223 · Latex, 14 pages, 8 eps.figs.,the ansatz for the SU(3) group is considered, refs are added

arxiv created 1997/11/12 · arxiv updated 2009/11/30

Abstract

We consider the classical and quantum dynamics in M(atrix) theory. Using a simple ansatz we show that a classical trajectory exhibits a chaotic motion. We argue that the holographic feature of M(atrix) theory is related with the repulsive feature of energy eigenvalues in quantum chaotic system. Chaotic dynamics in N=2 supersymmetric Yang-Mills theory is also discussed. We demonstrate that after the separation of "slow" and "fast" modes there is a singular contribution from the "slow" modes to the Hamiltonian of the "fast" modes.

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