论文标题
重叠费米的本地化
Localization with overlap fermions
论文作者
论文摘要
我们研究重叠狄拉克操作员光谱中的有限温度定位转变。模拟QCD的淬火近似值，我们计算了迁移率边缘，分离了频谱中的局部和离域模式。我们在刚好的过渡上方的几个温度下进行此操作，通过外推，我们确定了迁移率边缘消失和局部模式完全从光谱中消失的温度。我们发现，即使是最低的dirac eigenmodes也被脱落的温度，也与脱落过渡的临界温度相吻合。这一结果与我们先前获得的交错费米子的相似发现一起表明，在脱覆温度下的夸克定位与费米昂离散化无关，这表明最低的dirac eigenmodes的解解和定位密切相关的现象。
We study the finite temperature localization transition in the spectrum of the overlap Dirac operator. Simulating the quenched approximation of QCD, we calculate the mobility edge, separating localized and delocalized modes in the spectrum. We do this at several temperatures just above the deconfining transition and by extrapolation we determine the temperature where the mobility edge vanishes and localized modes completely disappear from the spectrum. We find that this temperature, where even the lowest Dirac eigenmodes become delocalized, coincides with the critical temperature of the deconfining transition. This result, together with our previously obtained similar findings for staggered fermions shows that quark localization at the deconfining temperature is independent of the fermion discretization, suggesting that deconfinement and localization of the lowest Dirac eigenmodes are closely related phenomena.
