We smear quenched lattice QCD ensembles with lattice volume 3 2 3 × 8 by using Wilson flow. Six ensembles at temperature near the critical temperature T c corresponding to the critical inverse coupling β c = 6.06173 ( 49 ) are used to investigate the localization of topological charge density. If the effective smearing radius of Wilson flow is large enough, the density, size and peak of Harrington-Shepard (HS) caloron-like topological lumps of ensembles are stable when β ≤ 6.050 , but start to change significantly when β ≥ 6.055 . The inverse participation ratio (IPR) of topological charge density shows similar results, it begins to increase when β ≥ 6.055 and is stable when β ≤ 6.050 . The pseudoscalar glueball mass is extracted from the topological charge density correlator (TCDC) of ensembles at T = 1.19 T c , and 1.36 T c , the masses are 1.915(98) and 1.829(123)?GeV respectively, they are consistent with results from conventional methods.
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机译：我们使用威尔逊流涂抹淬灭的晶格QCD集成，其晶格体积为3 2 3×8。在接近临界温度T c的温度下，对应于临界逆耦合βc = 6.06173（49）的六个集合用于研究拓扑电荷密度的定位。如果Wilson流的有效涂抹半径足够大，则当β≤6.050时，集成体的Harrington-Shepard（HS）卡龙形拓扑块的密度，大小和峰值将保持稳定，而当β≥6.055时，其密度，大小和峰值将变得稳定。拓扑电荷密度的逆参与比（IPR）显示出相似的结果，当β≥6.055时开始增加，当β≤6.050时开始稳定。从T = 1.19 T c和1.36 T c的集合的拓扑电荷密度相关器（TCDC）中提取拟标量胶球质量，质量分别为1.915（98）和1.829（123）？GeV，与结果一致从常规方法。
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