标题： 交错格点费米子的多重网格方法 显示英文标题

标题： Multigrid for Staggered Lattice Fermions

摘要： 在接近连续解时，克里洛夫方法中狄拉克算子的临界减速是格点场论进一步发展的主要障碍。 在这里，我们为科古特-苏斯金（或交错）费米子离散化制定了一种多网格算法，由于其一阶反厄米特结构，相对于威尔逊多网格来说证明了其难度。 解决方法是在伽辽金投影之前通过凯勒-狄拉克自旋结构引入一种新颖的谱变换。 我们给出了二维、两味施温格模型的数值结果，然而，一般的公式与维度无关，并可直接应用于四维格点QCD。 显示英文摘要

摘要： Critical slowing down in Krylov methods for the Dirac operator presents a major obstacle to further advances in lattice field theory as it approaches the continuum solution. Here we formulate a multi-grid algorithm for the Kogut-Susskind (or staggered) fermion discretization which has proven difficult relative to Wilson multigrid due to its first-order anti-Hermitian structure. The solution is to introduce a novel spectral transformation by the K\"ahler-Dirac spin structure prior to the Galerkin projection. We present numerical results for the two-dimensional, two-flavor Schwinger model, however, the general formalism is agnostic to dimension and is directly applicable to four-dimensional lattice QCD.