Practical all-to-all propagators for lattice QCD

2005/05/20 by Justin Foley, K. Jimmy Juge, Keisuke Jimmy Juge +6 · 8 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Lattice (music) #Lattice QCD #Lattice field theory #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #Theoretical physics #hep-lat

paper · pdf · doi:10.1016/j.cpc.2005.06.008

published as Comput.Phys.Commun.172:145-162,2005 · 24 pages, 18 figures

arxiv created 2005/05/20 · openalex publication_date 2005/08/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new method for computing all elements of the lattice quark propagator is proposed. The method combines the spectral decomposition of the propagator, computing the lowest eigenmodes exactly, with noisy estimators which are 'diluted', i.e. taken to have support only on a subset of time, space, spin or colour. We find that the errors are dramatically reduced compared to traditional noisy estimator techniques.

Citations

• Quark mass dependence of hadron masses from lattice QCD
• Maximal variance reduction for stochastic propagators with applications to the static quark spectrum

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