论文标题
用Lüscher-Weisz仪表设置NHYP Fermions的量表
Setting the scale for nHYP fermions with the Lüscher-Weisz gauge action
论文作者
论文摘要
使用仪表涂抹费米子内核的晶格QCD计算在计算上是有效的。已显示超纤维阻塞（NHYP涂抹）可减少缩放误差。在这项工作中，我们根据lüscher-Weisz仪表和通过NHYP涂抹仪表链路的Lüscher-Weisz量规和改良的Clover改良的Wilson Fermions使用改进的动作，$ n_f = 2 $ QCD。我们在该区域执行参数扫描，晶格间距在$ 0.066 \ Mathop {\ Hbox {fm}} $和$ 0.115 \ Mathop {\ hbox {\ hbox {fm}} $和$ 207 \ Mathop {\ hbox {\ hbox {mev}} $和$ 8334} $ \ bbox} $ \ bbox {\ hbox {mathop { 我们确定晶格间距和斜块质量是裸耦合参数（$β$和$κ$）的函数。结果是从$ 24^3 \ times 48 $晶格中的22个合奏中获得的，统计准确性水平。这些集合的有限体积效应在次级水平上。从这些测量值中，我们产生易于使用的参数化，以帮助调整此操作。晶格间距是使用质量无关的程序固定的，该程序是通过在手性极限中匹配可观察力的。我们还为手性外推提供了一个参数化，该参数化是通用的，应为$ n_f = 2 $ QCD的所有离散化而保留。
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.
