标题： 矩阵理论中的混沌现象 显示英文标题

标题： Chaos in M(atrix) Theory

摘要： 我们研究了M(atrix)理论中的经典和量子动力学。通过一个简单的假设，我们展示了经典轨迹表现出混沌运动。我们认为M(atrix)理论的全息特性与量子混沌系统中能量本征值的排斥特性有关。还讨论了N=2超对称Yang-Mills理论中的混沌动力学。我们证明，在“慢”模态和“快”模态分离后，“慢”模态对“快”模态哈密顿量有奇异贡献。 显示英文摘要

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.