Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator

Details Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator Adaptive Multigrid Algorithm for the QCD Dirac-Wilson Operator

2007-10-18

arxiv.org/abs/0710.3612v2

PoSLAT2007:029,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

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 mild 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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