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arxiv: hep-th/9710032 · v2 · submitted 1997-10-03 · ✦ hep-th · cond-mat· quant-ph

Chaos in M(atrix) Theory

classification ✦ hep-th cond-matquant-ph
keywords theoryatrixchaoticmodesclassicaldynamicsfastfeature
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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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