Localization of topological charge density near $T_c$ in quenched QCD with Wilson flow

TL;DR

This study investigates how topological charge density localizes near the critical temperature in quenched QCD using Wilson flow smearing, revealing stability and changes in topological lumps and correlators around specific lattice couplings.

Contribution

It provides new insights into the behavior of topological structures near $T_c$ in quenched QCD using Wilson flow, including stability analysis and glueball mass extraction.

Findings

Topological lumps are stable below a certain coupling threshold.

Inverse participation ratio increases above the threshold, indicating localization.

Pseudoscalar glueball masses are consistent with conventional results.

Abstract

We smear quenched lattice QCD ensembles with lattice volume $32^3\times 8$ by using Wilson flow. Six ensembles at temperature near the critical temperature $T_c$ corresponding to the critical inverse coupling $\beta_c=6.06173(49)$ 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 $\beta\leq 6.050$, but start to change significantly when $\beta\geq6.055$. The inverse participation ratio (IPR) of topological charge density shows similar results, it begins to increase when $\beta\geq 6.055$ and is stable when $\beta\leq 6.050$. The pseudoscalar glueball mass is extracted from the topological charge density correlator (TCDC) of ensembles at $T=1.19T_c,~\textrm{and }1.36T_c$, the masses are $1.915(98)\textrm{ GeV}$ and $1.829(123)\textrm{ GeV}$ respectively, they are consistent with results from conventional methods.