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Applications of flow models to the generation of correlated lattice QCD ensembles

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arxiv 2401.10874 v2 pith:MKATY33B submitted 2024-01-19 hep-lat cs.LG

Applications of flow models to the generation of correlated lattice QCD ensembles

classification hep-lat cs.LG
keywords ensembleslatticeapplicationscorrelateddifferentflowflowsgauge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Machine-learned normalizing flows can be used in the context of lattice quantum field theory to generate statistically correlated ensembles of lattice gauge fields at different action parameters. This work demonstrates how these correlations can be exploited for variance reduction in the computation of observables. Three different proof-of-concept applications are demonstrated using a novel residual flow architecture: continuum limits of gauge theories, the mass dependence of QCD observables, and hadronic matrix elements based on the Feynman-Hellmann approach. In all three cases, it is shown that statistical uncertainties are significantly reduced when machine-learned flows are incorporated as compared with the same calculations performed with uncorrelated ensembles or direct reweighting.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scalable Generative Sampling and Multilevel Estimation for Lattice Field Theories Near Criticality

    hep-lat 2026-04 unverdicted novelty 7.0

    A hierarchical generative model for critical lattice scalar field theories achieves orders-of-magnitude lower autocorrelation times than HMC while enabling exact multilevel Monte Carlo.

  2. Normalizing flows for all-orders QED corrections in lattice field theory

    hep-lat 2026-05 unverdicted novelty 6.0

    Normalizing flows enable all-order QED corrections in lattice scalar QED in 2-4 dimensions with reduced variance and transferability from small to large lattices.

  3. Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory

    hep-lat 2025-10 unverdicted novelty 6.0

    Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.

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

    hep-lat 2026-04 unverdicted novelty 3.0

    Machine learning generative models and renormalization-group neural networks are used to enhance gauge field sampling and learn fixed-point actions in 4D SU(3) lattice gauge theories, with presented scaling results to...