Maximal variance reduction for stochastic propagators with applications to the static quark spectrum

Abstract

We study a new method -- maximal variance reduction -- for reducing the variance of stochastic estimators for quark propagators. We find that while this method is comparable to usual iterative inversion for light-light mesons, a considerable improvement is achieved for systems containing at least one infinitely heavy quark. Such systems are needed for heavy quark effective theory. As an illustration of the effectiveness of the method we present results for the masses of the ground state and excited states of $\bar{Q}q$ mesons and $\bar{Q}qq$ baryons. We compare these results with the experimental spectra involving $b$ quarks.

31 pages with 7 postscript files

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Cited by in corpus (58)

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• Effective noise reduction techniques for disconnected loops in Lattice QCD
• Chiral symmetry and the Yang--Mills gradient flow
• Light Hadron Masses from Lattice QCD
• QCD phenomenology of static sources and gluonic excitations at short distances
• Hadrons with a heavy colour-adjoint particle
• Quark mass dependence of hadron masses from lattice QCD
• The DsJ(2317): what can the Lattice say?
• Hybrid meson decay from the lattice
• Universality of the topological susceptibility in the SU(3) gauge theory
• Light hadron spectroscopy with O(a) improved dynamical fermions
• Scaling of the B and D meson spectrum in lattice QCD
• Heavy-light Mesons and Baryons with b quarks
• Quark transverse charge densities in the $\Delta (1232)$ from lattice QCD
• Excited B mesons from the lattice
• Two heavy-light mesons on a lattice
• S and P-wave heavy-light mesons in lattice NRQCD
• Excitations of single-beauty hadrons
• String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model
• An Exploratory Lattice Study of Spectator Effects in Inclusive Decays of the Lambda_b Baryon
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• The continuum limit of the static-light meson spectrum
• Frequency-splitting estimators of single-propagator traces
• eta' meson From Two Flavor Dynamical Domain Wall Fermions
• Methods for Pseudoscalar Flavour-Singlet Mesons with Staggered Fermions
• Lattice calculations of hadron properties
• SU(3) lattice gauge theory with a mixed fundamental and adjoint plaquette action: Lattice artefacts
• Hadronic decay of a scalar B meson from the lattice
• A Study of Hadron Deformation in Lattice QCD
• Progress in lattice algorithms
• Lattice measurement of the Isgur-Wise functions tau_1/2 and tau_3/2
• Energies of B_s meson excited states - a lattice study
• Radial and orbital excitations of static-light mesons
• Tuning Actions and Observables in Lattice QCD
• Static-light meson-meson potentials
• A variational fit to the lattice energy of two heavy-light mesons
• Domain decomposition improvement of quark propagator estimation
• Matching Current Correlators in Lattice QCD to Chiral Perturbation Theory
• Improved Pseudofermion Approach for All-Point Propagators
• The Charge and Matter radial distributions of Heavy-Light mesons calculated on a lattice
• Variance reduction with practical all-to-all lattice propagators
• Exotic Meson Decay Widths using Lattice QCD
• Spatial distributions in static heavy-light mesons: a comparison of quark models with lattice QCD
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Searching for chiral logs in the static-light decay constant
• B-\bar{B} Mixing and b Hadron Lifetimes from Lattice QCD
• B-meson spectroscopy in HQET at order 1/m
• P-wave heavy-light mesons using NRQCD and D234
• The magnetic mass of transverse gluon, the B-meson weak decay vertex and the triality symmetry of octonion
• Preliminary results of the heavy-light meson spectrum using chirally improved light quarks
• Potentials between pairs of static-light mesons
• An Algorithmic Approach to Quantum Field Theory
• MDP_QCD: Object Oriented Programming for Lattice Gauge Theory
• Density-density correlators using all-to-all propagators