English

Metadynamics Surfing on Topology Barriers in the Schwinger Model

High Energy Physics - Lattice 2022-12-23 v1

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.

Keywords

Cite

@article{arxiv.2212.11665,
  title  = {Metadynamics Surfing on Topology Barriers in the Schwinger Model},
  author = {Christian Hoelbling and Timo Eichhorn and Philip Rouenhoff and Lukas Varnhorst},
  journal= {arXiv preprint arXiv:2212.11665},
  year   = {2022}
}

Comments

10 pages, 7 figures, 1 table