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

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 $\beta \le 6.050$, but start to change significantly when $\beta \ge 6.055$. The inverse participation ratio (IPR) of topological charge density shows similar results, it begins to increase when $\beta \ge 6.055$ and is stable when $\beta \le 6.050$. The pseudoscalar glueball mass is extracted from the topological charge density correlator (TCDC) of ensembles at $T=1.19T_c,\text{and }1.36T_c$, the masses are $1.915(98)\text{ GeV}$ and $1.829(123)\text{ GeV}$ respectively, they are consistent with results from conventional methods.

arXiv comment8 pages, 15 figures

References in corpus (24)

• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Properties and uses of the Wilson flow in lattice QCD
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• The Nf=0 heavy quark potential from short to intermediate distances
• Screening of the topological charge in a correlated instanton vacuum
• Topological Structure of the SU(3) Vacuum
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Topological Structure in the SU(2) Vacuum
• Critical point and scale setting in SU(3) plasma: An update
• Over-Improved Stout-Link Smearing
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• A Quenched Study of SU(3) Glueballs at Finite Temperature
• Instanton liquid properties from lattice QCD
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Chiral Symmetry Breaking by Instantons
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Topological structure in the SU(2) vacuum
• Topological susceptibility near $T_c$ in SU(3) gauge theory
• Twist-3 Contributions in Semi-Inclusive DIS with Transversely Polarized Target
• Topological charge and cooling scales in pure SU(2) lattice gauge theory
• Topological structure of the SU(3) vacuum and exceptional eigenmodes of the improved Wilson-Dirac operator
• Visualization of topological structure and chiral condensate
• Investigating the topological structure of quenched lattice QCD with overlap fermions by using multi-probing approximation