mlsanityData to 14 Oct 2026

Non-Perturbative Trivializing Flows for Lattice Gauge Theories

arXiv 2410.13161 ↗First posted 17 Oct 2024hep-lat cond-mat.stat-mech cs.LGcited by 3

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Abstract (arXiv)

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.

Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 18 of its 41 references that are in the map. First posted on arXiv 17 Oct 2024.

Builds on

18 of 41 references.

References · 18

  1. 2018Neural Ordinary Differential Equationscited by 3,779
  2. 2019Normalizing Flows for Probabilistic Modeling and Inferencecited by 1,323
  3. 2020Stochastic Normalizing Flowscited by 157
  4. 2019Flow-based generative models for Markov chain Monte Carlo in lattice field theorycited by 148
  5. 2022Flow Annealed Importance Sampling Bootstrapcited by 127
  6. 2020Sampling using SU(N) gauge equivariant flowscited by 84
  7. 2020Neural Manifold Ordinary Differential Equationscited by 81
  8. 2020Lattice gauge equivariant convolutional neural networkscited by 45
  9. 2022Learning Lattice Quantum Field Theories with Equivariant Continuous Flowscited by 37
  10. 2021Introduction to Normalizing Flows for Lattice Field Theorycited by 35
  11. 2020Neural Ordinary Differential Equations on Manifoldscited by 31
  12. 2022Aspects of scaling and scalability for flow-based sampling of lattice QCDcited by 26
6 more
  1. 2022Stochastic normalizing flows as non-equilibrium transformationscited by 25
  2. 2021Scaling Up Machine Learning For Quantum Field Theory with Equivariant Continuous Flowscited by 24
  3. 2023Normalizing flows for lattice gauge theory in arbitrary space-time dimensioncited by 23
  4. 2023Sampling the lattice Nambu-Goto string using Continuous Normalizing Flowscited by 12
  5. 2021Continuous normalizing flows on manifoldscited by 10
  6. 2024Applications of flow models to the generation of correlated lattice QCD ensemblescited by 10

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Cited by year

Citing papers per year: 2025: 3.

3 papers.

  1. 2025Scaling flow-based approaches for topology sampling in SU(3) gauge theorycited by 6
  2. 2025Lecture Notes on Normalizing Flows for Lattice Quantum Field Theoriescited by 4
  3. 2025NeuMC -- a package for neural sampling for lattice field theoriescited by 1