Multigrid Algorithms for Domain-Wall Fermions
Multigrid Algorithms for Domain-Wall Fermions
复制标题
域壁费米子的多重网格算法
DOI：
10.22323/1.139.0030
复制
发表时间：
2012
期刊：
影响因子：
--
通讯作者：
J. Osborn
中科院分区：
文献类型：
--
作者：
Saul D. Cohen;R. Brower;M. Clark;J. Osborn
我们描述了一种用于求解域壁费米子算子的逆的自适应多重网格算法。我们的多重网格算法使用域壁算子的近零向量到较粗糙的四维晶格的自适应投影。将多重网格技术扩展到手性费米子作用将大大降低总体计算成本，并且与丢弃这种对称性相比，粗空间中第五维的消除降低了使用手性费米子的相对成本。我们证明了随着夸克质量的减小和较小的体积依赖性，临界减慢几乎被消除，这可以通过利用算法的递归性质来抑制。
We describe an adaptive multigrid algorithm for solving inverses of the domain-wall fermion operator. Our multigrid algorithm uses an adaptive projection of near-null vectors of the domain-wall operator onto coarser four-dimensional lattices. This extension of multigrid techniques to a chiral fermion action will greatly reduce overall computation cost, and the elimination of the fifth dimension in the coarse space reduces the relative cost of using chiral fermions compared to discarding this symmetry. We demonstrate near-elimination of critical slowing as the quark mass is reduced and small volume dependence, which may be suppressed by taking advantage of the recursive nature of the algorithm.