论文标题
重叠拓扑密度对威尔逊质量参数的依赖性
The dependence of overlap topological charge density on Wilson mass parameter
论文作者
论文摘要
在本文中，我们通过对称的多探针源（SMP）方法分析了重叠算子对重叠核中Wilson质量参数的拓扑密度的依赖性。我们观察到，随着威尔逊质量的增加，非平凡的拓扑对象被去除。显示了使用Fermionic定义通过SMP方法计算出的拓扑电荷密度与Wilson Flow方法的Gluonic定义的比较。使用了这两种方法的匹配过程。我们发现，与不同的威尔逊质量的威尔逊流动时间和费米子定义之间的拓扑电荷密度有最佳匹配。通过使用匹配程序，可以估计威尔逊流量的正确流动时间在拓扑电荷密度的计算中。随着晶格间距$ a $的减小，正常的流动时间也会如预期的那样减少。
In this paper, we analyze the dependence of the topological charge density from the overlap operator on the Wilson mass parameter in the overlap kernel by the symmetric multi-probing source (SMP) method. We observe that the non-trivial topological objects are removed as the Wilson mass is increased. A comparison of topological charge density calculated by the SMP method using fermionic definition with that of gluonic definition by the Wilson flow method is shown. A matching procedure for these two methods is used. We find that there is a best match for topological charge density between gluonic definition with varied Wilson flow time and fermionic definition with different Wilson mass. By using the matching procedure, the proper flow time of Wilson flow in the calculation of topological charge density can be estimated. As the lattice spacing $a$ decreases, the proper flow time also decreases, as expected.
