Topology changing update algorithms for SU(3) gauge theory
Timo Eichhorn, Christian Hoelbling, Philip Rouenhoff, Lukas, Varnhorst
TL;DR
This paper investigates algorithmic solutions to reduce topological autocorrelation issues in lattice SU(3) gauge theory simulations at fine lattice spacings, focusing on instanton updates and Metadynamics.
Contribution
It introduces and analyzes new algorithmic approaches, including instanton updates and Metadynamics, to improve sampling efficiency in lattice gauge theory simulations.
Findings
Reduced autocorrelation times with proposed algorithms
Enhanced sampling of topological sectors
Potential for more accurate lattice simulations
Abstract
At fine lattice spacings, lattice simulations are plagued by slow (topological) modes that give rise to large autocorrelation times. These, in turn, lead to statistical and systematic errors that are difficult to estimate. We study the problem and possible algorithmic solutions in 4-dimensional SU(3) gauge theory, with special focus on instanton updates and Metadynamics.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Physics of Superconductivity and Magnetism · Theoretical and Computational Physics