论文标题
扰动超黄麦理论中的量子混乱
Quantum Chaos in Perturbative super-Yang-Mills Theory
论文作者
论文摘要
我们提供了数值证据表明，最大超对称su（n）Yang-mills理论在N n的有限值下是混乱的。正交集合随机矩阵理论。我们将这些结果扩展到双环顺序，并将这些结果扩展到单参数变形家族。我们进一步研究了这些模型的频谱刚度，并表明它也通过随机矩阵理论很好地描述。最后，我们证明有限的n特征向量具有混乱状态的特性。
We provide numerical evidence that the perturbative spectrum of anomalous dimensions in maximally supersymmetric SU(N) Yang-Mills theory is chaotic at finite values of N. We calculate the probability distribution of one-loop level spacings for subsectors of the theory and show that for large N it is given by the Poisson distribution of integrable models, while at finite values it is the Wigner-Dyson distribution of the Gaussian orthogonal ensemble random matrix theory. We extend these results to two-loop order and to a one-parameter family of deformations. We further study the spectral rigidity for these models and show that it is also well described by random matrix theory. Finally we demonstrate that the finite-N eigenvectors possess properties of chaotic states.
