用Lüscher-Weisz规范action设定nHYP费米子的标度
Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
摘要：
格点量子色动力学中费米子核的规范涂抹计算是一种有效的计算方法。超立方分块（nHYP涂抹）已被证明可以减少缩放误差。在这项工作中，我们使用一个改进的作用量的$N_f=2$ QCD，基于Lüscher-Weisz规范作用量和三叶草改进的威尔逊费米子与nHYP涂抹规范链接。我们在晶格间距介于$0.066 \mathop{\hbox{fm}}$和$0.115 \mathop{\hbox{fm}}$之间，π质量介于$207 \mathop{\hbox{MeV}}$和$834 \mathop{\hbox{MeV}}$之间的区域进行参数扫描。我们确定的晶格间距和π介子质量作为裸耦合参数（$β$和$κ$）的函数。计算结果是在$24^3\times 48$格点上用22个系综得到的，统计精度达到百分之一。这些集合的有限体积效应是在次百分比水平。从这些测量中，我们生成易于使用的参数化，以帮助调整模拟与此行动。晶格间距是固定的使用质量无关的程序，通过匹配的手征极限中的观测。我们还提供了一个参数化的手征外推，这是普遍的，并应持有所有离散的$N_f=2$ QCD。
英文摘要：
Lattice QCD calculations using gauge smearing for fermion kernels are computationally efficient. Hypercubic blocking (nHYP smearing) has been shown to reduce scaling errors. In this work we use an improved action for $N_f=2$ QCD, based on the Lüscher-Weisz gauge action and clover-improved Wilson fermions with nHYP smeared gauge links. We perform a parameter scan in the region with lattice spacing between $0.066 \mathop{\hbox{fm}}$ and $0.115 \mathop{\hbox{fm}}$ and pion mass between $207 \mathop{\hbox{MeV}}$ and $834 \mathop{\hbox{MeV}}$. We determine the lattice spacing and pion mass as a function of the bare coupling parameters ($β$ and $κ$). The results are obtained from twenty-two ensembles on a $24^3\times 48$ lattice to percent level in statistical accuracy. The finite-volume effects for these ensemble are at the sub-percent level. From these measurements we produce easy-to-use parameterizations to help tune simulations with this action. The lattice spacing is fixed using a mass-independent procedure, by matching observables in the chiral limit. We also provide a parameterization for the chiral extrapolation which is universal and should hold for all discretizations of $N_f=2$ QCD.
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