The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of normalizing flows has been shown to lead to bad scaling with the volume. In this talk we propose using local normalizing flows at a scale given by the correlation length. Even if naively these transformations have a small acceptance, when combined with the HMC algorithm lead to algorithms with high acceptance, and also with reduced autocorrelation times compared with HMC. Several scaling tests are performed in the ϕ4 theory in 2D.
@article{arxiv.2211.12806,
title = {Learning trivializing flows},
author = {David Albandea and Luigi Del Debbio and Pilar Hernández and Richard Kenway and Joe Marsh Rossney and Alberto Ramos},
journal= {arXiv preprint arXiv:2211.12806},
year = {2022}
}
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10 pages, 6 figures, contribution to the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Bonn, Germany