Adaptive Multigrid Algorithm for Lattice QCD

Details Adaptive Multigrid Algorithm for Lattice QCD Adaptive Multigrid Algorithm for Lattice QCD

2007-07-26

arxiv.org/abs/0707.4018v1

Phys.Rev.Lett.100:041601,2008

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.100.041601

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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