Non-Perturbative Trivializing Flows for Lattice Gauge Theories
High Energy Physics - Lattice
2025-12-22 v2 Statistical Mechanics
Machine Learning
High Energy Physics - Theory
Abstract
Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations.
Cite
@article{arxiv.2410.13161,
title = {Non-Perturbative Trivializing Flows for Lattice Gauge Theories},
author = {Mathis Gerdes and Pim de Haan and Roberto Bondesan and Miranda C. N. Cheng},
journal= {arXiv preprint arXiv:2410.13161},
year = {2025}
}
Comments
7+7 pages, 5 figures, 4 tables; expanded published version, added 2 appendices with computational cost analysis and numerical evaluations (added 1 table and 2 figures)