### 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 V from its dual space V^{*}. All the existing algorithms violate one or more of these principles.

Original language | English (US) |
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Pages (from-to) | 399-408 |

Number of pages | 10 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 317 |

Issue number | 3 |

DOIs | |

State | Published - Nov 11 1993 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Some comments on multigrid methods for computing propagators.** / Sokal, Alan D.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 317, no. 3, pp. 399-408. https://doi.org/10.1016/0370-2693(93)91015-F

}

TY - JOUR

T1 - Some comments on multigrid methods for computing propagators

AU - Sokal, Alan D.

PY - 1993/11/11

Y1 - 1993/11/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0346995673&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346995673&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(93)91015-F

DO - 10.1016/0370-2693(93)91015-F

M3 - Article

AN - SCOPUS:0346995673

VL - 317

SP - 399

EP - 408

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3

ER -