改进的格点量子色动力学中夸克传播的Laplacian Heaviside拖尾随机估计
Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD
摘要：
本文提出了一种新的随机估计夸克传播的低阶效应的方法，它可以精确地确定格点量子色动力学中单强子和多强子算符的时间关联。该方法非常适合于大量计算。贡献涉及夸克传播连接强子汇运营商在同一个最终的时间可以处理在一个简单的方式，即使是大量的最终时间片。该方法利用Laplacian Heaviside（LapH）涂抹。ZN噪声引入了一种新的方式，并使用明智选择的噪声稀释投影仪实现方差减小。在标量、赝标量和矢量通道中使用等激介子，并在大的各向异性24^3 × 128晶格上使用总同位旋I= 0，1，2的2 π介子系统，对π介子质量mpi~390和240 MeV，空间间隔a_s~0.12 fm和时间间隔a_t~0.034 fm进行了测试。
英文摘要：
A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multi-hadron operators in lattice QCD. The method is well suited for calculations in large volumes. Contributions involving quark propagation connecting hadron sink operators at the same final time can be handled in a straightforward manner, even for a large number of final time slices. The method exploits Laplacian Heaviside (LapH) smearing. ZN noise is introduced in a novel way, and variance reduction is achieved using judiciously-chosen noise dilution projectors. The method is tested using isoscalar mesons in the scalar, pseudoscalar, and vector channels, and using the two-pion system of total isospin I=0,1,2 on large anisotropic 24^3 x 128 lattices with spatial spacing a_s~0.12 fm and temporal spacing a_t~0.034 fm for pion masses mpi~390 and 240 MeV.
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