Some Comments on Multigrid Methods for Computing Propagators
High Energy Physics - Lattice
2010-11-01 v1
Abstract
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 from its dual space . All the existing algorithms violate one or more of these principles.
Keywords
Cite
@article{arxiv.hep-lat/9307020,
title = {Some Comments on Multigrid Methods for Computing Propagators},
author = {Alan D. Sokal},
journal= {arXiv preprint arXiv:hep-lat/9307020},
year = {2010}
}
Comments
16 pages, LaTeX plus subeqnarray.sty (included at end), NYU-TH-93/07/02