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$\eta^\prime$ meson mass from topological charge density correlator in QCD

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arxiv 1509.00944 v2 pith:WWVYB7BD submitted 2015-09-03 hep-lat

JLQCD collaboration: H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki This is my paper · ORCID
classification hep-lat
keywords mesonprimetopologicalchargechiralcorrelatordensitymass
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The flavor-singlet component of the eta prime meson is related to the topological structure of the SU(3) gauge field through the chiral anomaly. We perform a 2+1-flavor lattice QCD calculation and demonstrate that the two-point function of a gluonically defined topological charge density after a short Yang-Mills gradient flow contains the propagation of the eta prime meson, by showing that its mass in the chiral and continuum limit is consistent with the experimental value. The gluonic correlator does not suffer from the contamination of the pion contribution, and the clean signal is obtained at significantly lower numerical cost compared to the conventional method with the quark bilinear operators.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Real-time topological rate at non-zero momentum in quenched QCD

    hep-lat 2026-08 conditional novelty 6.0 of 10

    A first-principles lattice calculation in quenched QCD extracts the momentum-dependent topological rate and finds approximate linear growth of the on-shell rate with momentum.

  2. A novel view of the flavor-singlet spectrum from multi-flavor QCD on the lattice

    hep-lat 2025-05 conditional novelty 6.0 of 10

    In SU(3) gauge theory with Nf = 4, 8, and 12 flavors, the normalized eta-prime mass sqrt(8t0) M_eta' takes values near 2.5, 5.0, and 7.5, consistent with n_f^2 scaling in the anti-Veneziano limit.

  3. FLAG Review 2024

    hep-lat 2024-11 accept novelty 2.0 of 10

    The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.

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