Localization of topological charge density near Tc in quenched QCD with Wilson flow.

We smear quenched lattice QCD ensembles with lattice volume 32³×8 by using Wilson flow. Six ensembles at temperature near the critical temperature Tc corresponding to the critical inverse coupling βc=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=1.19Tc, and 1.36Tc, the masses are 1.915(98) and 1.829(123) GeV respectively, they are consistent with results from conventional methods. [ABSTRACT FROM AUTHOR]