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Improving meson two-point functions in lattice QCD

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arxiv hep-lat/0401011 v1 pith:HNBRHJ6Y submitted 2004-01-06 hep-lat

Thomas DeGrand , Stefan Schaefer This is my paper · ORCID
classification hep-lat
keywords functionslatticetwo-pointcontributionmesonquarkaveragedchannels
verification ladder T0 review T1 audit T2 compute T3 formal
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We describe and test a method to compute Euclidean meson two-point functions in lattice QCD. The contribution from the low-lying eigenmodes of the Dirac operator is averaged over all positions of the quark sources. The contribution from the higher modes is estimated in the traditional way with one or a few source points per lattice. In some channels, we observe a significant improvement in the two-point functions for small quark masses.

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Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 96 citations worldwide. Full citation record

  1. Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD

    hep-lat 2026-03 conditional novelty 9.0 of 10

    Lattice QCD yields the NLO HVP contribution to muon g-2 as -101.57(26)stat(54)syst ×10^{-11}, 1.4σ below the 2025 White Paper estimate and twice as precise.

  2. The Neutron Electric Dipole Moment from Lattice QCD using a Background Electric Field

    hep-lat 2026-07 conditional novelty 7.0 of 10

    Using background electric fields, local topological charge, and non-Hermitian GEVP, lattice QCD yields dn = -0.0050(4)stat(8)sys θ-bar e fm at the physical point.

  3. The running of the electroweak gauge couplings from first principles

    hep-lat 2026-07 accept novelty 6.5 of 10

    Lattice QCD plus pQCD matching yields Δα_had^(5)(M_Z²)=0.027821(34)lat(35)pQCD at 0.17% precision and a up-to-7σ tension with e+e- data near 1 GeV².

  4. Machine-learning techniques as noise reduction strategies in lattice calculations of the muon $g-2$

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Machine-learned approximate correlators with bias correction reduce cost for some isospin corrections by about 50%, but not yet for the rest-eigen part of the HVP vector correlator.

  5. Smeared $R$-ratio in isospin symmetric QCD with Low Mode Averaging

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Low Mode Averaging improves lattice precision enough to resolve the rho resonance in the energy-smeared R-ratio at sigma=250 MeV.

  6. Performance of Low Mode Averaging on Twisted-Mass Fermion Ensembles at the physical pion mass point

    hep-lat 2026-06 unverdicted novelty 4.0 of 10

    Numerical tests show low-mode averaging reduces noise in light meson and baryon observables on physical-pion twisted-mass ensembles, yielding renormalized chiral condensate 269.5(4.5) MeV.

  7. Checks on QED and strong-isospin breaking corrections to $a_{\mu}^{\mathrm{HVP}}$

    hep-lat 2025-02 conditional novelty 4.0 of 10

    New cross-checks using exact derivatives, low-mode averaging, and finer ensembles confirm the earlier BMW QED and strong-isospin breaking corrections to a_mu^HVP.

  8. Lepton anomalous magnetic moments: Theory

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.

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