Adaptive Multigrid Algorithm for Lattice QCD

Journal Article · Fri Feb 01 04:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.041601· OSTI ID:21024648

Brannick, J ^[1]; Brower, R C; Rebbi, C ^[2]; Clark, M A; Osborn, J C ^[2]

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1. Department of Mathematics, The Pennsylvania State University, 230 McAllister Building, University Park, Pennsylvania 16802 (United States)
2. Center for Computational Sciences, Boston University, 3 Cummington Street, Boston, Massachusetts 02215 (United States)

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.

• OSTI ID: 21024648
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 100; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CHIRALITY
DIRAC OPERATORS
QUANTUM CHROMODYNAMICS
SCHWINGER-TOMONAGA FORMALISM
U-1 GROUPS