论文标题
单启动器轨迹的频率分解估计器
Frequency-splitting estimators for single-propagator traces
论文作者
论文摘要
在这些程序中，我们解决了QCD QCD中夸克线断开图的计算。许多现象学上有趣的可观察结果需要评估这些图，但是由于真空和随机噪声的贡献，统计错误遭受了较大的统计误差。通过对方差的理论分析的激励，我们引入了一个新的单propagator痕迹的随机估计量，建立在频率分裂的基础上，结合了夸克传播器的跳跃，并测试了它们在两种氟化QCD中的效率，并以190 MeV的光线为pions。这些估计量的使用将计算的成本降低了一到两个数量级，而不是标准估计器，具体取决于费米亚双线性。作为一种具体的应用，我们显示了这些发现对辐射真空极化对MUON异常磁矩的贡献的影响。
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.
