ISU - Multigrid for computing propagators
Martin Baker
TL;DR
The paper introduces ISU, a multigrid algorithm that efficiently computes propagators in Lattice Gauge Theory, demonstrating no critical slowing down for certain equations and showing promising initial results for the Dirac-operator.
Contribution
The paper presents a novel multigrid method, ISU, that adaptively constructs smooth interpolation operators, improving computational efficiency in Lattice Gauge Theory.
Findings
No critical slowing down for 2D Laplace equation in SU(2) gauge fields
Initial results indicate effectiveness for Dirac-operator computations
Method enhances efficiency of propagator calculations in lattice gauge simulations
Abstract
The Iteratively Smoothing Unigrid algorithm (ISU), a new multigrid method for computing propagators in Lattice Gauge Theory, is explained. The main idea is to compute good (i.e.\ smooth) interpolation operators in an iterative way. This method shows {\em no critical slowing down} for the 2-dimensional Laplace equation in an SU(2) gauge field. First results for the Dirac-operator are also shown.
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