Adaptive Multigrid Algorithm for Lattice QCD

2007/07/26 by J. Brannick, James Brannick, R. C. Brower +5 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevlett.100.041601

published as Phys.Rev.Lett.100:041601,2008 · 4 pages, 2 figures

arxiv created 2007/07/26 · openalex publication_date 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space. The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit. Results are presented for the Wilson-Dirac operator of the 2D U(1) Schwinger model.

Cited by

• Effective noise reduction techniques for disconnected loops in Lattice QCD
• A first look at Structured-Multiscale Algebraic Multigrid for Lattice Field Theory
• Application of preconditioned block BiCGGR to the Wilson–Dirac equation with multiple right-hand sides in lattice QCD

Related

• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Adaptive Aggregation Based Domain Decomposition Multigrid for the Lattice Wilson Dirac Operator
• Coarsest-level improvements in multigrid for lattice QCD on large-scale computers
• Multigrid solver for clover fermions
• An adaptive aggregation based domain decomposition multilevel method for the lattice wilson dirac operator: multilevel results