Matching Wilson flow time for calculating the topological charge density and the pseudoscalar glueball mass in quenched lattice QCD

TL;DR

This paper investigates the optimal Wilson flow time for calculating topological charge density and pseudoscalar glueball mass in quenched lattice QCD, establishing a matching procedure that improves the accuracy of these computations.

Contribution

It introduces a matching procedure to determine the Wilson flow time that optimally computes topological quantities and glueball masses in lattice QCD.

Findings

Matching Wilson flow time correlates with the topological charge being close to an integer.

Pseudoscalar glueball mass is successfully extracted at the matching flow time.

The matching flow time improves the calculation of topological susceptibility.

Abstract

The matching Wilson flow time for calculating the topological charge density correlator (TCDC) of the gluonic definition by the Wilson flow is analyzed using the matching procedure. The relationship has been established between the matching Wilson flow time for calculating TCDC and the matching Wilson flow time at which the topological charge defined by the gluon fields is closest to an integer. The properties of TCDC defined by the bosonic field are investigated, and the pseudoscalar glueball mass was extracted from the TCDC computed at the matching Wilson flow time. It is further demonstrated that the matching Wilson flow time determined by the matching procedure can be applied to compute the topological susceptibility in the gluonic definition.