Overlap Valence on 2+1 Flavor Domain Wall Fermion Configurations with Deflation and Low-mode Substitution

Abstract

The overlap fermion propagator is calculated on 2+1 flavor domain wall fermion gauge configurations on 16^3 x 32, 24^3 x 64 and 32^3 x 64 lattices. With HYP smearing and low eigenmode deflation, it is shown that the inversion of the overlap operator can be expedited by ~ 20 times for the 16^3 x 32 lattice and ~ 80 times for the 32^3 x 64 lattice. Through the study of hyperfine splitting, we found that the O(m^2a^2) error is small and these dynamical fermion lattices can adequately accommodate quark mass up to the charm quark. The low energy constant Δ_{mix} which characterizes the discretization error of the pion made up of a pair of sea and valence quarks in this mixed action approach is calculated via the scalar correlator with periodic and anti-periodic boundary conditions. It is found to be small which shifts a 300 MeV pion mass by ~ 10 to 19 MeV on these sets of lattices. We have studied the signal-to-noise issue of the noise source for the meson and baryon. It is found that the many-to-all meson and baryon correlators with Z_3 grid source and low eigenmode substitution is efficient in reducing errors for the correlators of both mesons and baryons. With 64-point Z_3 grid source and low-mode substitution, it can reduce the statistical errors of the light quark (m_π ~ 200 - 300 MeV) meson and nucleon correlators by a factor of ~ 3-4 as compared to the point source. The Z_3 grid source itself can reduce the errors of the charmonium correlators by a factor of ~ 3.

30 pages, 18 figures, replaced with the version to be published in PRD

References in corpus (5)

• Light hadron spectroscopy using domain wall valence quarks on an Asqtad sea
• Local coherence and deflation of the low quark modes in lattice QCD
• Two Meson Systems with Ginsparg-Wilson Valence Quarks
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• Discretization effects and the scalar meson correlator in mixed-action lattice simulations

Cited by in corpus (23)

• Glue spin and helicity in proton from lattice QCD
• Eigenvalue spectra of QCD and the fate of $U_A(1)$ breaking towards the chiral limit
• Bound isoscalar axial-vector $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD using two-meson and diquark-antidiquark variational basis
• Meson Mass Decomposition from Lattice QCD
• Trace anomaly form factors from lattice QCD
• Overlap valence quarks on a twisted mass sea: a case study for mixed action Lattice QCD
• Study of isoscalar scalar $bc\bar{u}\bar{d}$ tetraquark $T_{bc}$ from lattice QCD
• Continuum Limit of Overlap Valence Quarks on a Twisted Mass Sea
• Distance between various discretized fermion actions
• Nucleon isovector scalar charge from overlap fermions
• Mixed action with Borici-Creutz fermions on staggered sea
• Study of the scalar charmed-strange meson Ds0*(2317) with chiral fermions
• Lattice QCD and the Neutron Electric Dipole Moment
• The Strangeness and Charmness of Nucleon from Overlap Fermions
• Error reduction technique using covariant approximation and application to nucleon form factor
• Glue Spin $S_G$ in The Longitudinally Polarized Nucleon
• RI/(S)MOM renormalizations of overlap quark bilinears with different levels of hypercubic smearing
• Round table on Standard Model Anomalies
• Strange quark momentum fraction from overlap fermion
• Nucleon Matrix Elements at Physical Pion Mass and Cost Comparison
• Wavefunction-based operator optimization for two-hadron systems in lattice QCD
• Proton momentum and angular momentum decompositions with overlap fermions
• Hadron spectra and Delta_{mix} from overlap quarks on a HISQ sea