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Flow-based sampling for fermionic lattice field theories

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arxiv 2106.05934 v2 pith:7RGR5K3X submitted 2021-06-10 hep-lat cond-mat.stat-mechcs.LG

Flow-based sampling for fermionic lattice field theories

classification hep-lat cond-mat.stat-mechcs.LG
keywords fieldsamplingtheorieslatticetheoryappliedapproachesfermions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Algorithms based on normalizing flows are emerging as promising machine learning approaches to sampling complicated probability distributions in a way that can be made asymptotically exact. In the context of lattice field theory, proof-of-principle studies have demonstrated the effectiveness of this approach for scalar theories, gauge theories, and statistical systems. This work develops approaches that enable flow-based sampling of theories with dynamical fermions, which is necessary for the technique to be applied to lattice field theory studies of the Standard Model of particle physics and many condensed matter systems. As a practical demonstration, these methods are applied to the sampling of field configurations for a two-dimensional theory of massless staggered fermions coupled to a scalar field via a Yukawa interaction.

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Cited by 7 Pith papers

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

  1. Sampling the Schwinger Model with Gauge-Equivariant Diffusion

    hep-lat 2026-06 unverdicted novelty 7.0

    A gauge-equivariant diffusion model samples Schwinger model configurations, yielding unbiased observables matching MCMC and qualitatively less topological freezing than HMC.

  2. 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.

  3. Flow-Based Surrogates for High-Dimensional Likelihoods in Experimental Neutrino Physics

    hep-ex 2026-07 accept novelty 6.0

    A hybrid coupling-plus-autoregressive normalizing flow reproduces a 110-parameter non-Gaussian near-detector likelihood at 98% relative ESS versus ~5% for the post-fit Gaussian, matching MCMC while remaining evaluable...

  4. Flow-Based Surrogates for High-Dimensional Likelihoods in Experimental Neutrino Physics

    hep-ex 2026-07 accept novelty 6.0

    A hybrid coupling-plus-autoregressive normalizing flow trained on a 110-parameter T2K-like near-detector likelihood reaches 98% relative ESS versus 5% for the post-fit Gaussian and matches MCMC flux predictions.

  5. 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.

  6. Neural network expansion of Euclidean path integrals and its application to interacting scalar fields

    hep-ph 2025-09 conditional novelty 6.0

    An RBF neural-network expansion of the interaction factor turns Euclidean path integrals into factorized Gaussian integrals that reproduce the 1+1 phi^4 phase transition line in seconds.

  7. Improvement of Heatbath Algorithm in LFT using Generative models

    physics.comp-ph 2023-08 unverdicted novelty 6.0

    Generative models learn conditional local distributions conditioned on neighbors and action parameters to improve Heatbath proposals for continuous-variable lattice models without target samples.