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arXiv · 2212.11665

Metadynamics Surfing on Topology Barriers in the Schwinger Model

Christian Hoelbling·Timo Eichhorn·Philip Rouenhoff·Lukas Varnhorst
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Abstract

Topological freezing is a well known problem in lattice simulations: with shrinking lattice spacing a transition between topological sectors becomes increasingly improbable, leading to a problematic increase of the autocorrelation time regarding several observables. We present our investigation of metadynamics as a solution for topological freezing in the Schwinger model. Specifically, we take a closer look at the collective variable and its scaling behaviour, visualize the effects of topological freezing and how metadynamics helps in that respect and explore alternatives for a more efficient building process. Possible implications for and differences to four-dimensional SU(3) theory are briefly discussed.

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Christian Hoelbling, Timo Eichhorn, Philip Rouenhoff, Lukas Varnhorst. 2022-12-22. Metadynamics Surfing on Topology Barriers in the Schwinger Model. https://arxiv.org/abs/2212.11665

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