论文标题
构建晶格QCD中相关函数的现场稀疏
Field sparsening for the construction of the correlation functions in lattice QCD
论文作者
论文摘要
在本文中使用两种野外范围的方法，即稀疏网格方法和随机场选择方法，用于构建晶格QCD中的2分和3点相关函数。我们认为，由于与源，当前和接收器位置相关的不同场点的晶格相关器之间的高相关性，因此可以通过在晶格站点的一个子集上执行求和来节省大量计算时间。此外，采用这种策略，只需要存储一小部分的夸克传播器即可。据发现，点源操作员的野外点数量可以减少$ \ sim $ 100，而高斯式操作员的$ \ sim $ 1000，而相关器的不确定性仅增加$ \ sim $ \ sim $ 15 \％。因此，凭借计算资源的适度成本，可以使用现场避免方法来接近全体相关器的精确度。
Two field-sparsening methods, namely the sparse-grid method and the random field selection method, are used in this paper for the construction of the 2-point and 3-point correlation functions in lattice QCD. We argue that, due to the high correlation among the lattice correlators at different field points associated with source, current, and sink locations, one can save a lot of computational time by performing the summation over a subset of the lattice sites. Furthermore, with this strategy, one only needs to store a small fraction of the full quark propagators. It is found that the number of field points can be reduced by a factor of $\sim$100 for the point-source operator and a factor of $\sim$1000 for the Gaussian-smeared operator, while the uncertainties of the correlators only increase by $\sim$15\%. Therefore, with a modest cost of the computational resources, one can approach the precision of the all-to-all correlators using the field-sparsening methods.
