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Practical all-to-all propagators for lattice QCD

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arxiv hep-lat/0505023 v1 pith:MS3BN6MW submitted 2005-05-20 hep-lat

Justin Foley , K. Jimmy Juge , Alan O'Cais , Mike Peardon , Sinead M. Ryan , Jon-Ivar Skullerud This is my paper · ORCID
classification hep-lat
keywords computinglatticemethodnoisypropagatorall-to-allcolourcombines
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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.

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Cited by 1 Pith paper

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  1. $\Delta I =1/2$ process of $K\to\pi\pi$ decay on multiple ensembles with periodic boundary conditions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The first PBC continuum extrapolation of the ΔI=1/2 K→ππ amplitude gives Re(ε'/ε)=17.5(6.8)(4.9)(5.0)×10^{-4}, consistent with the experimental 16.6(2.3).

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