改进DWF模拟：力梯度积分器和莫比乌斯加速DWF求解器
Improving DWF Simulations: the Force Gradient Integrator and the Möbius Accelerated DWF Solver
摘要：
我们已经实现了肯尼迪等人提出的力梯度积分器的一个变体，并将其用于我们的生产2+1风味π介子模拟，π介子质量为180 MeV（4.5fm）3卷。我们发现适度的加速（\sim 20%）从使用力梯度积分器，相比我们以前使用的Omelyan积分器。在其他的系综上，主要是有限温度2+1味QCD，我们已经广泛地调整了Hasenbusch预处理质量，并实现了2- 3倍的加速。这里我们也切换到了力梯度积分器，但这种变化对速度没有任何影响。我们还报告了一个改进的求解器，它使用莫比乌斯费米子，与一个较小的第五维比原来的狄拉克费米子，作为一个中间步骤，在生成的狄拉克方程的解决方案。当共轭梯度迭代计数很大时，这种方法将有效的狄拉克应用程序的数量减少了约2倍。
英文摘要：
We have implemented a variant of the force gradient integrator proposed by Kennedy et.al. and are using it in our production 2+1 flavor DWF simulations with pion masses of 180 MeV in (4.5fm)3 volumes. We find modest speed-ups (\sim 20%) from using the force gradient integrator, compared to our previously used Omelyan integrator. On other ensembles, primarily finite temperature 2+1 flavor DWF QCD, we have extensively tuned the Hasenbusch preconditioning masses and achieved speed-ups of 2-3x. Here we have also switched to the force gradient integrator, but this change has not had any impact on the speed. We also report on an improved solver for DWF, which uses Möbius fermions, with a smaller fifth dimension than the original DWF fermions, as an intermediate step in the generation of solutions of the Dirac equation. This approach cuts the number of effective Dirac applications by approximately a factor of 2 when the conjugate gradient iteration count is large.
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