Gauge-equivariant pooling layers for preconditioners in lattice QCD

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

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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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