用Hasenbusch改进多项式滤波混合蒙特卡罗方法
Improving Polynomial-filtered Hybrid Monte Carlo With Hasenbusch
摘要：
产生格点量子色动力学组态的主要方法是混合蒙特卡罗方法。为了加速这一过程，人们设计了一系列的预处理技术来修改晶格作用。这项工作比较了性能的著名的Hasenbusch预处理技术与多项式滤波技术上的小$16^3 \times 32$晶格与两种味道的威尔逊费米子在π质量$M_π \sim 400~\mathrm{MeV}$。我们探索了一种新的方法，结合多项式和Hasenbusch过滤器，揭示了加速时，相比标准的两个Hasenbusch过滤器。这带来了简化调优的额外优势。
英文摘要：
The predominant method for generating Lattice QCD configurations is Hybrid Monte Carlo (HMC). In order to speed up this generation, a wide range of preconditioning techniques that modify the lattice action have been devised. This work compares the performance of the well-known Hasenbusch preconditioning technique with the polynomial filtering technique on a small $16^3 \times 32$ lattice with two flavours of Wilson fermions at a pion mass $M_π \sim 400~\mathrm{MeV}$. We explore a novel method of combining polynomial and Hasenbusch filters, revealing a speedup when compared to the standard two Hasenbusch filters. This comes with the added advantage of simplified tuning.
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