Improving meson two-point functions in lattice QCD

Abstract

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.

10 pages, 7 figures

References in corpus (11)

• Exactly massless quarks on the lattice
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• A practical implementation of the Overlap-Dirac operator
• An Accelerated Conjugate Gradient Algorithm to Compute Low-Lying Eigenvalues --- a Study for the Dirac Operator in SU(2) Lattice QCD
• On the low fermionic eigenmode dominance in QCD on the lattice
• A variant approach to the overlap action
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Witten-Veneziano Relation, Quenched QCD, and Overlap Fermions
• Improved Pseudofermion Approach for All-Point Propagators
• Hadronic Correlators from All-point Quark Propagators
• Recent results using all-point quark propagators

Cited by in corpus (62)

• The anomalous magnetic moment of the muon in the Standard Model
• Leading hadronic contribution to the muon magnetic moment from lattice QCD
• FLAG Review 2019
• FLAG Review 2021
• Effective noise reduction techniques for disconnected loops in Lattice QCD
• A new class of variance reduction techniques using lattice symmetries
• Light Hadron Masses from Lattice QCD
• Nucleon sigma term and strange quark content from lattice QCD with exact chiral symmetry
• Covariant approximation averaging
• Light quark vacuum polarization at the physical point and contribution to the muon $g-2$
• Local coherence and deflation of the low quark modes in lattice QCD
• Nucleon charges with dynamical overlap fermions
• Deflation acceleration of lattice QCD simulations
• Computing and deflating eigenvalues while solving multiple right hand side linear systems in Quantum Chromodynamics
• Exploring the structure of the quenched QCD vacuum with overlap fermions
• FLAG Review 2024
• Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution
• Pion form factors from two-flavor lattice QCD with exact chiral symmetry
• Symmetries of hadrons after unbreaking the chiral symmetry
• Domain decomposition, multi-level integration and exponential noise reduction in lattice QCD
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• The muon anomalous magnetic moment with staggered fermions: is the lattice spacing small enough?
• Nucleon strange quark content from two-flavor lattice QCD with exact chiral symmetry
• Unbreaking chiral symmetry
• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
• $D_s\to \eta ,{\eta }^{\prime }$ semileptonic decay form factors with disconnected quark loop contributions
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Stochastic method with low mode substitution for nucleon isovector matrix elements
• On the renormalized scalar density in quenched QCD
• Chiral Symmetry Breaking on the Lattice
• B_K with two flavors of dynamical overlap fermions
• Frequency-splitting estimators of single-propagator traces
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Improving meson two-point functions by low-mode averaging
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• 2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
• Variance reduction with practical all-to-all lattice propagators
• Nucleon Mass with Highly Improved Staggered Quarks
• Testing chiral effective theory with quenched lattice QCD
• Determination of the $\Delta S=1$ weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions
• Accessing high-momentum nucleons with dilute stochastic sources
• Lattice QCD with fixed topology
• Exploring the chiral regime with dynamical overlap fermions
• Monopole and instanton effects in QCD
• Exploring the role of the charm quark in the $\Delta I=1/2$ rule
• A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD
• Light meson spectrum with $N_f=2$ dynamical overlap fermions
• Effects of the low lying Dirac modes on the spectrum of ground state mesons
• Heavy Meson Masses in the ε-Regime of HMχPT
• Meson and baryon masses with low mode averaging
• Running of the Electroweak Gauge Couplings from First Principles
• First results in QCD with 2+1 light flavors using the fixed-point action
• Results from overlap valence quarks on a twisted mass sea
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Correlation functions at small quark masses with overlap fermions
• Proton momentum and angular momentum decompositions with overlap fermions
• Numerical experiments using deflation with the HISQ action
• Monopoles, spectra of overlap fermions, and eta-prime meson in external magnetic fields