Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-07-28
Phys.Lett.B317:399-408,1993
Physics
High Energy Physics
High Energy Physics - Lattice
16 pages, LaTeX plus subeqnarray.sty (included at end), NYU-TH-93/07/02
Scientific paper
10.1016/0370-2693(93)91015-F
I make three conceptual points regarding multigrid methods for computing propagators in lattice gauge theory: 1) The class of operators handled by the algorithm must be stable under coarsening. 2) Problems related by symmetry should have solution methods related by symmetry. 3) It is crucial to distinguish the vector space $V$ from its dual space $V^*$. All the existing algorithms violate one or more of these principles.
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