标题： 有限密度下超对称QCD中的量子混沌 显示英文标题

标题： Quantum chaos in supersymmetric QCD at finite density

摘要： 我们研究格点狄拉克算子相邻本征值间距的分布。 在零化学势 $\mu$时，最近邻间距分布 $P(s)$ 在禁闭相和脱禁闭相都符合随机矩阵理论的威格纳假设。 这表明存在量子混沌。 在非零化学势下，狄拉克算子的本征值变为复数，我们讨论如何在复平面上定义 $P(s)$。 将SU(2)模拟中以交错费米子在基本表示和伴随表示下的数值结果与非厄米随机矩阵理论的预测进行比较，发现对于 $\mu\approx 0.5$与吉尼布雷系综一致。 显示英文摘要

摘要： We investigate the distribution of the spacings of adjacent eigenvalues of the lattice Dirac operator. At zero chemical potential $\mu$, the nearest-neighbor spacing distribution $P(s)$ follows the Wigner surmise of random matrix theory both in the confinement and in the deconfinement phase. This is indicative of quantum chaos. At nonzero chemical potential, the eigenvalues of the Dirac operator become complex and we discuss how $P(s)$ can be defined in the complex plane. Numerical results from an SU(2) simulation with staggered fermions in fundamental and adjoint representations are compared with predictions from non-hermitian random matrix theory, and agreement with the Ginibre ensemble is found for $\mu\approx 0.5$.