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Chaos in M(atrix) theory

โœ Scribed by I.Ya. Aref'eva; P.B. Medvedev; O.A. Rytchkov; I.V. Volovich


Book ID
104363940
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
615 KB
Volume
10
Category
Article
ISSN
0960-0779

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โœฆ Synopsis


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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