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

1998/02/11 by UKQCD Collaboration, C. Michael, J. Peisa · 5 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.58.034506

published as Phys.Rev.D58:034506,1998 · 31 pages with 7 postscript files

arxiv created 1998/02/11 · openalex publication_date 1998/07/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 the 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 Qq mesons and Qqq baryons. We compare these results with the experimental spectra involving b quarks.

Citations

• B spectroscopy using all-to-all propagators
• Exotic hadronic states and all-to-all quark propagators
• The static approximation of heavy-light quark systems. A detailed lattice study
• First results with non-perturbative fermion improvement
• Effect of tree-level and mean-field improvement on the light-hadron spectrum in quenched QCD
• Properties ofBmesons in lattice QCD
• Some new results in O(a) improved lattice QCD

Cited by

• Light hadron spectroscopy withO(a)<mml:mn/>improved dynamical fermions
• Hadrons with a heavy color-adjoint particle
• Quark mass dependence of hadron masses from lattice QCD
• Two heavy-light mesons on a lattice
• An exploratory lattice study of spectator effects in inclusive decays of the Λb baryon