Abstract

We report on numerical experiments using deflation to compute quark propagators for the highly improved staggered quark (HISQ) action. The method is tested on HISQ gauge configurations, generated by the MILC collaboration, with lattice spacings of 0.15 fm, with a range of volumes, and sea quark masses down to the physical quark mass.

Highlights

  • An important goal of lattice QCD flavour physics calculations is to find deviations from the predictions of the standard model of particle physics

  • To exploit configurations with physical pion masses requires speeding up the calculation of quark propagators and improved measurement techniques to reduce statistical errors

  • Note that there are newer techniques for reducing the noise [30] in lattice QCD calculations, which are not based on eigenmodes

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Summary

Introduction

An important goal of lattice QCD flavour physics calculations is to find deviations from the predictions of the standard model of particle physics. The time taken to compute quark propagators has been speeded up by factors of up to O(15) [4,5,6,7], using algorithms such as multigrid or domain decomposition, applied to lattice QCD. Another way to speed up an inversion is to remove eigenvalues and eigenvectors from the matrix. Note that there are newer techniques for reducing the noise [30] in lattice QCD calculations, which are not based on eigenmodes

Eigenvalues of the improved staggered Dirac operator
Eigensolvers in lattice QCD
Results from numerical experiments
Conclusions

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