标题： 改进格点上的拓扑电荷密度算符 显示英文标题

标题： Improving the topological charge density operator on the lattice

摘要： 我们分析了一类改进的格点拓扑电荷密度算符的性质，这些算符通过一种类似于平滑的程序构造而成。 通过优化其定义中引入的参数的选择，我们找到了具有以下特点的算符：(i) 在格点上作为拓扑电荷密度估计器具有更好的统计行为，即噪声更小；(ii) 乘法重整化更接近于1；(iii) 对应的格点拓扑易感性中的微扰尾部有显著抑制。 显示英文摘要

摘要： We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i) a much better statistical behavior as estimators of the topological charge density on the lattice, i.e. much less noisy; (ii) a multiplicative renormalization much closer to one; (iii) a large suppression of the perturbative tail in the corresponding lattice topological susceptibility.