Lehner, Christoph and Wettig, Tilo (2024) Gauge-equivariant pooling layers for preconditioners in lattice QCD. PHYSICAL REVIEW D, 110 (3): 034517. ISSN 2470-0010, 2470-0029
Full text not available from this repository. (Request a copy)Abstract
We demonstrate that gauge-equivariant pooling and unpooling layers can perform as well as traditional restriction and prolongation layers in multigrid preconditioner models for lattice QCD. These layers introduce a gauge degree of freedom on the coarse grid, allowing for the use of explicitly gauge-equivariant layers on the coarse grid. We investigate the construction of coarse-grid gauge fields and study their efficiency in the preconditioner model. We show that a combined multigrid neural network using a Galerkin construction for the coarse-grid gauge field eliminates critical slowing down.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MULTIGRID MONTE-CARLO; DIRAC-OPERATOR; ZERO-MODES; PROPAGATORS; INVERSION; MATRIX; FIELD; PTMG; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2025 12:38 |
| Last Modified: | 15 Jul 2025 12:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/63478 |
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