一类新的利用格对称性的方差缩减技术
A new class of variance reduction techniques using lattice symmetries
摘要：
我们提出了一个通用类的无偏改进估计物理观测值的格点规范理论计算，显着减少统计误差在适度的计算成本。误差减少技术，称为协变近似平均，利用近似下的晶格对称变换是协变的。我们观察到，从新的方法相比，传统的成本降低，固定的统计误差，16倍的核子质量在$M_π\sim 330$ MeV（畴壁夸克）和2.6-20倍的强子真空极化在$M_π\sim 480$ MeV（Asqtad夸克）。这些成本的降低应该随着夸克质量的降低和晶格尺寸的增加而改善。
英文摘要：
We present a general class of unbiased improved estimators for physical observables in lattice gauge theory computations which significantly reduces statistical errors at modest computational cost. The error reduction techniques, referred to as covariant approximation averaging, utilize approximations which are covariant under lattice symmetry transformations. We observed cost reductions from the new method compared to the traditional one, for fixed statistical error, of 16 times for the nucleon mass at $M_π\sim 330$ MeV (Domain-Wall quark) and 2.6-20 times for the hadronic vacuum polarization at $M_π\sim 480$ MeV (Asqtad quark). These cost reductions should improve with decreasing quark mass and increasing lattice sizes.
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