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Adaptive Multi-grid for QCD

Presenter: Michael Clark — Boston University

J. Brannick, R. C. Brower, M. A. Clark, J. Osborne, C. Rebbi

We present a new multi-grid 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 no critical slowing down in the chiral limit. Results are presented for the Wilson Dirac operator of the 2d U(1) Schwinger model and 4d SU(3) QCD.