Topology changing update algorithms for SU(3) gauge theory

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.

10 pages, 4 figures, 3 tables. Proceedings of the 39th International Symposium on Lattice Field Theory, LATTICE2022 8th-13th August, 2022, University of Bonn, Germany v2: Added references and slightly expanded discussion. Matches PoS version

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Cited by in corpus (1)

• Parallel Tempered Metadynamics: Overcoming potential barriers without surfing or tunneling