Adaptive multigrid algorithm for lattice QCD

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 gau...

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Bibliographic Details
Published in:Physical review letters 2008-02, Vol.100 (4), p.041601-041601
Main Authors: Brannick, J, Brower, R C, Clark, M A, Osborn, J C, Rebbi, C
Format: Article
Language:English
Subjects:
ALGORITHMS
CHIRALITY
DIRAC OPERATORS
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
SCHWINGER-TOMONAGA FORMALISM
U-1 GROUPS
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.100.041601