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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
verification ladder T0 review T1 audit T2 compute T3 formal

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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Optimising stochastic algorithms for hadron correlation function computations in lattice QCD using a localised distillation basis

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    A new localised basis for lattice QCD distillation, generated by a unitary-flow orthogonalisation, enables sparse importance-sampled contractions of baryon correlation functions.

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

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    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).

  3. Toward inclusive observables with staggered quarks: the smeared $R$~ratio

    hep-lat 2024-11 conditional novelty 4.0 of 10

    A pilot lattice QCD calculation shows that staggered quarks, with even/odd time-slice separation, produce a smeared R ratio that roughly matches the Bernecker-Meyer model below 1 GeV.

  4. Lattice simulations with G-parity Boundary Conditions

    hep-lat 2019-08 conditional novelty 4.0 of 10

    A detailed lattice QCD formalism and numerical tests show that G-parity boundary conditions yield moving pions with correct energies and preserved isospin, enabling physical-kinematics kaon decay calculations.

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