Adaptive Multigrid Algorithm for Lattice QCD

C. Rebbi; J. Brannick; J. C. Osborn; M. A. Clark; R. C. Brower

Adaptive Multigrid Algorithm for Lattice QCD

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arxiv 0707.4018 v1 pith:YJNL27VU submitted 2007-07-26 hep-lat

Adaptive Multigrid Algorithm for Lattice QCD

J. Brannick , R. C. Brower , M. A. Clark , J. C. Osborn , C. Rebbi This is my paper

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keywords algorithmadaptivediracgaugemultigridoperatorbehindchiral

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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.

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