pith. machine review for the scientific record. sign in

arxiv: 1005.3043 · v2 · submitted 2010-05-17 · ✦ hep-lat

Recognition: unknown

Adaptive multigrid algorithm for the lattice Wilson-Dirac operator

Authors on Pith no claims yet
classification ✦ hep-lat
keywords adaptivealgorithmlatticemultigridoperatorsystemwilson-diracapplication
0
0 comments X
read the original abstract

We present an adaptive multigrid solver for application to the non-Hermitian Wilson-Dirac system of QCD. The key components leading to the success of our proposed algorithm are the use of an adaptive projection onto coarse grids that preserves the near null space of the system matrix together with a simplified form of the correction based on the so-called gamma_5-Hermitian symmetry of the Dirac operator. We demonstrate that the algorithm nearly eliminates critical slowing down in the chiral limit and that it has weak dependence on the lattice volume.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

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

  1. A novel gauge-equivariant neural-network architecture for preconditioners in lattice QCD

    hep-lat 2026-02 unverdicted novelty 8.0

    A novel gauge-equivariant neural-network preconditioner for the Dirac equation in lattice QCD mitigates critical slowing down and transfers to unseen configurations without retraining.

  2. Third moments of nucleon unpolarized, polarized, and transversity parton distribution functions from physical-point lattice QCD

    hep-lat 2026-05 unverdicted novelty 7.0

    First lattice QCD calculation at the physical pion mass of the isovector third moments of nucleon unpolarized, polarized, and transversity PDFs via forward matrix elements of local operators.

  3. Variance reduction strategies for lattice QCD

    hep-lat 2026-05 unverdicted novelty 2.0

    Variance reduction schemes based on decompositions of quark propagators have proven useful for precision lattice QCD observables and may help reduce the computational cost of reaching large volumes.