标题： SU(3)狄拉克算子的谱：从随机矩阵理论到手征微扰理论的转变 显示英文标题

标题： Spectrum of the SU(3) Dirac operator on the lattice: Transition from random matrix theory to chiral perturbation theory

摘要： 我们计算了在冻结SU(3)规范理论中，对于不同耦合常数和格点大小的Kogut-Susskind狄拉克算子的完整谱。 从这些谱中，我们计算了连通和不连通标量磁化率，并发现与手征随机矩阵理论在一定能量尺度内一致，即汤斯利能量。 分析了该尺度随格点体积的变化。 在连通磁化率的情况下，这种依赖关系是异常的，我们解释了原因。 我们提出了一种手征微扰理论模型，该模型能够描述超出汤斯利能量的数据，并且与手征随机矩阵理论具有共同的应用范围。 显示英文摘要

摘要： We calculate complete spectra of the Kogut-Susskind Dirac operator on the lattice in quenched SU(3) gauge theory for various values of coupling constant and lattice size. From these spectra we compute the connected and disconnected scalar susceptibilities and find agreement with chiral random matrix theory up to a certain energy scale, the Thouless energy. The dependence of this scale on the lattice volume is analyzed. In the case of the connected susceptibility this dependence is anomalous, and we explain the reason for this. We present a model of chiral perturbation theory that is capable of describing the data beyond the Thouless energy and that has a common range of applicability with chiral random matrix theory.