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

Guang-Yi Xiong; Zhen Cheng

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

Zhen Cheng, Guang-yi Xiong

High Energy Physics - Lattice · Submitted 4 Sep 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv ID2409.02756 (version 5)

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CitationGuang-Yi Xiong, Zhen Cheng. "Matching Wilson flow time for calculating the topological charge density and the pseudoscalar glueball mass in quenched lattice QCD." arXiv:2409.02756 (2024). https://pith.science/paper/HMMH6OBH

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.21 · mentions code or data availability 0.02.

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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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	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.	contribution 0.87	0.79	0.10	asserted 0.91
s1	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.	result 0.93	0.81	0.36	asserted 1.00
s2	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.	result 0.76	0.90	0.23	asserted 1.00
s3	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.	result 0.80	0.85	0.26	asserted 1.00

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Original 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.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 15 sentences without a confident label

Uses the method or tool of 7 papers

The matching quantity $Ξ_AB$ will be calculated as follows [ref] ,

Wilson mass dependence of the overlap topological charge density · Simulation setup · 0.93
The matching quantity $Ξ_AB$ will be calculated as follows [ref] ,

Quantitative comparison of filtering methods in lattice QCD · Simulation setup · 0.93
To reduce the computational cost, the symmetric multi-probing source (SMP) method is introduced to calculate the topological charge density with the Dirac operator [ref] .

Evaluating topological charge density with symmetric multi-probing method · Simulation setup · 0.99

Compares with 2 papers

The mass of the pseudoscalar glueball, obtained through continuous extrapolation, is $m=2561(39)MeV$, consistent with the findings in Ref. [ref] .

Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory · The topological charge density correlator and the pseudoscalar glueball mass · 1.00
The mass of the pseudoscalar glueball, obtained through continuous extrapolation, is $m=2561(39)MeV$, consistent with the findings in Ref. [ref] .

Glueball Spectrum and Matrix Elements on Anisotropic Lattices · The topological charge density correlator and the pseudoscalar glueball mass · 1.00

Cites as support 2 papers

It shows that the extracted mass remains independent of the endpoint once the error bars of the tail of the TCDC approach zero [ref] .

Localization of topological charge density near $T_c$ in quenched QCD with Wilson flow · The topological charge density correlator and the pseudoscalar glueball mass · 0.97
It shows that the extracted mass remains independent of the endpoint once the error bars of the tail of the TCDC approach zero [ref] .

Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory · The topological charge density correlator and the pseudoscalar glueball mass · 0.97

Cites as background 6 papers

Definitions of topological charge and topological charge density are generally divided into the fermionic and gluonic definitions [ref] .

Comparison of different lattice definitions of the topological charge · Introduction · 0.92
Definitions of topological charge and topological charge density are generally divided into the fermionic and gluonic definitions [ref] .

Recent results on topology on the lattice (in memory of Pierre van Baal) · Introduction · 0.92
Definitions of topological charge and topological charge density are generally divided into the fermionic and gluonic definitions [ref] .

Comparison of topological charge definitions in Lattice QCD · Introduction · 0.92

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