梯度流动力学系综HISQ上的莫比乌斯畴壁费米子
Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
摘要：
我们报告的显着特点的混合格点QCD行动使用价莫比乌斯域壁费米子解决的动态$N_f=2+1+1$ HISQ合奏MILC协作产生的。利用梯度流方法首先对HISQ组态进行涂抹，可以显著改善价费米子的近似手征对称性。针对NVIDIA GPU加速计算节点优化的高效QUDA库减轻了莫比乌斯域壁反转的更大数值成本。我们已经在Chroma中创建了一个优化的QUDA求解器的接口。我们提供了调整参数的行动和性能的QUDA使用合奏与晶格间距$a \simeq \{0.15, 0.12, 0.09\}$ FM和π介子质量$m_π\simeq \{310, 220,130\}$兆电子伏。我们还用$a\sim0.12$ fm和$m_π\sim\{400, 350\}$ MeV生成了两个新的合奏。在晶格单元中具有固定的$t_{gf}=1$流动时间的情况下，价费米子的剩余手征对称性破缺在所有系综$m_{res} \lesssim 0.1\times m_l$上保持在轻夸克质量的10%以下，具有中等的第五维$L_5$值和畴壁高度$M_5 \leq 1.3$。作为一个基准计算，我们进行了连续，无限体积，物理π介子和K介子质量外推的$F_{K^\pm}/F_{π^\pm}$，并证明我们的结果是独立的流动时间，并与FLAG确定这个数量在小于一个标准偏差的水平。
英文摘要：
We report on salient features of a mixed lattice QCD action using valence Möbius domain-wall fermions solved on the dynamical $N_f=2+1+1$ HISQ ensembles generated by the MILC Collaboration. The approximate chiral symmetry properties of the valence fermions are shown to be significantly improved by utilizing the gradient-flow scheme to first smear the HISQ configurations. The greater numerical cost of the Möbius domain-wall inversions is mitigated by the highly efficient QUDA library optimized for NVIDIA GPU accelerated compute nodes. We have created an interface to this optimized QUDA solver in Chroma. We provide tuned parameters of the action and performance of QUDA using ensembles with the lattice spacings $a \simeq \{0.15, 0.12, 0.09\}$ fm and pion masses $m_π\simeq \{310, 220,130\}$ MeV. We have additionally generated two new ensembles with $a\sim0.12$ fm and $m_π\sim\{400, 350\}$ MeV. With a fixed flow-time of $t_{gf}=1$ in lattice units, the residual chiral symmetry breaking of the valence fermions is kept below 10\% of the light quark mass on all ensembles, $m_{res} \lesssim 0.1\times m_l$, with moderate values of the fifth dimension $L_5$ and a domain-wall height $M_5 \leq 1.3$. As a benchmark calculation, we perform a continuum, infinite volume, physical pion and kaon mass extrapolation of $F_{K^\pm}/F_{π^\pm}$ and demonstrate our results are independent of flow-time, and consistent with the FLAG determination of this quantity at the level of less than one standard deviation.
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