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Sampling the Schwinger Model with Gauge-Equivariant Diffusion

arXiv 2606.27481 ↗First posted 25 Jun 2026hep-lat cond-mat.str-el cs.LGcited by 0

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Abstract (arXiv)

We present a first study of a diffusion-based approach to accelerated sampling of the Nf = 2 lattice Schwinger model. Our work is inspired by recent and growing successes in developing such generative models for ensemble generation in LFT to overcome the well-known critical slowing down problem. We train a U(1)-equivariant score-based generative model to sample gauge link configurations from the marginal Schwinger model. By computing model likelihoods, we obtain unbiased estimates for observables that closely match those produced by MCMC simulations. We also demonstrate improvement over HMC as measured qualitatively by a reduction in topological freezing near critical parameters.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 20 of its 39 references that are in the map. First posted on arXiv 25 Jun 2026.

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References · 20

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8 more
  1. 2019Axial Attention in Multidimensional Transformerscited by 350
  2. 2022Gauge-equivariant flow models for sampling in lattice field theories with pseudofermionscited by 30
  3. 2021Flow-based sampling for fermionic lattice field theoriescited by 27
  4. 2023Diffusion Models as Stochastic Quantization in Lattice Field Theorycited by 24
  5. 2022Flow-based sampling in the lattice Schwinger model at criticalitycited by 20
  6. 2025Physics-Conditioned Diffusion Models for Lattice Gauge Theorycited by 9
  7. 2025Group-Equivariant Diffusion Models for Lattice Field Theorycited by 3
  8. 2026Diffusion model for SU(N) gauge theoriescited by 1

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  1. 2026Operator-Guided Model Reduction for Generative Sampling in Lattice Field Theory
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  3. 2023Generative Diffusion Models for Lattice Field Theory
  4. 2026Diffusion-warm sampling of the XY model enables fast thermalization at scale
  5. 2023Renormalizing Diffusion Models
  6. 2023Improving Generative Model-based Unfolding with Schr"odinger Bridges
  7. 2024Understanding Diffusion Models by Feynman's Path Integral
  8. 2026Capturing the Topological Phase Transition and Thermodynamics of the 2D XY Model via Manifold-Aware Score-Based Generative Modeling