Multigrid for propagators of staggered fermions in four-dimensional $SU(2)$ gauge fields

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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4 pages, 3 figures (one LaTeX-figure, two figures appended as encapsulated ps files); Contribution to LATTICE '92, requires es

Scientific paper

10.1016/0920-5632(93)90203-I

Multigrid (MG) methods for the computation of propagators of staggered fermions in non-Abelian gauge fields are discussed. MG could work in principle in arbitrarily disordered systems. The practical variational MG methods tested so far with a ``Laplacian choice'' for the restriction operator are not competitive with the conjugate gradient algorithm on lattices up to $18^4$. Numerical results are presented for propagators in $SU(2)$ gauge fields.

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