论文标题
热QCD中的拓扑和狄拉克频谱
Topology and the Dirac Spectrum in Hot QCD
论文作者
论文摘要
众所周知，与期望，手性对称性破坏的顺序参数相反，零虚拟性的狄拉克光谱密度在QCD的临界温度之上不会消失。取而代之的是，光谱密度在零时会形成一个明显的峰值。我们表明，峰值的光谱密度对预期体积缩放有很大的侵犯。这种异常的缩放和这些本征量的统计数据与混合Instanton和Antiinstanton零模式产生的量表是一致的。因此，我们表明，非变化的拓扑渗透性意味着零近期特征值的有限密度，这可能会影响临界温度以上的手性对称性的恢复。
It is known that contrary to expectations, the order parameter of chiral symmetry breaking, the Dirac spectral density at zero virtuality does not vanish above the critical temperature of QCD. Instead, the spectral density develops a pronounced peak at zero. We show that the spectral density in the peak has large violations of the expected volume scaling. This anomalous scaling and the statistics of these eigenmodes is consistent with them being produced by mixing instanton and antiinstanton zero modes. Consequently, we show that a nonvanishing topological usceptibility implies a finite density of eigenvalues around zero, which can have implications on the restoration of chiral symmetry above the critical temperature.
