English

Machine learning for four-dimensional SU(3) lattice gauge theories

High Energy Physics - Lattice 2026-04-15 v1 Machine Learning

Abstract

In this review I summarize how machine learning can be used in lattice gauge theory simulations and what ap\-proaches are currently available to improve the sampling of gauge field configurations, with a focus on applications in four-dimensional SU(3) gauge theories. These include approaches based on generative machine-learning models such as (stochastic) normalizing flows and diffusion processes, and an approach based on renormalization group (RG) transformations, more specifically the machine learning of RG-improved gauge actions using gauge-equivariant convolutional neural networks. In particular, I present scaling results for a machine-learned fixed-point action in four-dimensional SU(3) gauge theory towards the continuum limit. The results include observables based on the classically perfect gradient-flow scales, which are free of tree-level lattice artefacts to all orders, and quantities related to the static potential and the deconfinement transition.

Keywords

Cite

@article{arxiv.2604.12416,
  title  = {Machine learning for four-dimensional SU(3) lattice gauge theories},
  author = {Urs Wenger},
  journal= {arXiv preprint arXiv:2604.12416},
  year   = {2026}
}

Comments

18 pages, 9 figure; Plenary talk at the 42nd International Symposium on Lattice Field Theory (LATTICE2025), Mumbai, India

R2 v1 2026-07-01T12:08:14.000Z