单传播子道的频率分裂估计
Frequency-splitting estimators for single-propagator traces
摘要：
在这些论文中，我们讨论了格点量子色动力学中夸克线不连通图的计算。这些图的评估是需要许多现象学上有趣的观测，但遭受大的统计误差，由于真空和随机噪声的贡献，他们的方差。出于理论分析的方差，我们引入了一个新的家庭的随机估计的单传播子的痕迹建立在频率分裂结合跳跃扩展的夸克传播子，并测试其效率在两味QCD与光为190兆电子伏的π介子。这些估计的使用减少了一至两个数量级的计算成本超过标准的估计依赖于费米子双线性。作为一个具体的应用，我们展示了这些发现的影响上的强子真空极化贡献的μ子异常磁矩的计算。
英文摘要：
In these proceedings we address the computation of quark-line disconnected diagrams in lattice QCD. The evaluation of these diagrams is required for many phenomenologically interesting observables, but suffers from large statistical errors due to the vacuum and random-noise contributions to their variances. Motivated by a theoretical analysis of the variances, we introduce a new family of stochastic estimators of single-propagator traces built upon a frequency splitting combined with a hopping expansion of the quark propagator, and test their efficiency in two-flavour QCD with pions as light as 190 MeV. The use of these estimators reduces the cost of the computation by one to two orders of magnitude over standard estimators depending on the fermion bilinear. As a concrete application, we show the impact of these findings on the computation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment.
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