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Improved stochastic estimation of quark propagation with Laplacian Heaviside smearing in lattice QCD

2011/04/19 by Colin Morningstar, John Bulava, Justin Foley +6 · 3 citations
Physics and Astronomy · #Geometry #Hadron #High-Energy Particle Collisions Research #Isoscalar #Isospin #Lattice (music) #Lattice QCD #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Scalar (mathematics) #hep-lat

paper · pdf · doi:10.1103/physrevd.83.114505

published as Phys.Rev.D83:114505,2011 · 18 pages, 16 figures, submitted to Physical Review D

arxiv created 2011/04/19 · openalex publication_date 2011/06/03 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

A new method of stochastically estimating the low-lying effects of quark propagation is proposed which allows accurate determinations of temporal correlations of single-hadron and multihadron operators in lattice QCD. The method is well suited for calculations in large volumes. Contributions involving quark propagation connecting hadron sink operators at the same final time can be handled in a straightforward manner, even for a large number of final time slices. The method exploits Laplacian Heaviside (LapH) smearing. ZN noise is introduced in a novel way, and variance reduction is achieved using judiciously-chosen noise-dilution projectors. The method is tested using isoscalar mesons in the scalar, pseudoscalar, and vector channels, and using the two-pion system of total isospin I=0, 1, 2 on large anisotropic 243\ifmmode×\else\texttimes\fi128 lattices with spatial spacing as\ensuremath∼0.12 fm and temporal spacing at\ensuremath∼0.034 fm for pion masses m_\ensuremathπ\ensuremath≈390 and 240 MeV.

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