标题： 低能狄拉克本征模的标度维数和拓扑电荷密度 显示英文标题

标题： The scaling dimension of low lying Dirac eigenmodes and of the topological charge density

摘要： 作为局域化的定量度量，在冻结格点上计算了低能狄拉克本征模的逆参与比和拓扑电荷密度，覆盖了广泛的格点间距和体积。 由于不同的拓扑物体（瞬子、涡旋、单极子和人工效应）具有不同的余维数，标度分析提供了每种物体存在的数量及其与低能本征模局域化的相关性信息。 显示英文摘要

摘要： As a quantitative measure of localization, the inverse participation ratio of low lying Dirac eigenmodes and topological charge density is calculated on quenched lattices over a wide range of lattice spacings and volumes. Since different topological objects (instantons, vortices, monopoles, and artifacts) have different co-dimension, scaling analysis provides information on the amount of each present and their correlation with the localization of low lying eigenmodes.