Chaos in M(atrix) theory

被引:34
作者
Aref'eva, IY
Medvedev, PB
Rytchkov, OA
Volovich, IV
机构
[1] VA Steklov Math Inst, Moscow 117966, Russia
[2] State Atom Energy Commiss, Inst Theoret & Expt Phys, Moscow 117218, Russia
[3] Moscow MV Lomonosov State Univ, Dept Phys, Moscow 119899, Russia
关键词
D O I
10.1016/S0960-0779(98)00159-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:213 / 223
页数:11
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