Idealized Multigrid Algorithm for Staggered Fermions

Details Idealized Multigrid Algorithm for Staggered Fermions Idealized Multigrid Algorithm for Staggered Fermions

1993-04-08

arxiv.org/abs/hep-lat/9304004v1

Phys.Rev. D48 (1993) 1926-1930

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, no figures, DESY 93-046; can be formatted with plain LaTeX article style

Scientific paper

10.1103/PhysRevD.48.R1926

An idealized multigrid algorithm for the computation of propagators of staggered fermions is investigated. Exemplified in four-dimensional $SU(2)$ gauge fields, it is shown that the idealized algorithm preserves criticality under coarsening. The same is not true when the coarse grid operator is defined by the Galerkin prescription. Relaxation times in computations of propagators are small, and critical slowing is strongly reduced (or eliminated) in the idealized algorithm. Unfortunately, this algorithm is not practical for production runs, but the investigations presented here answer important questions of principle.

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