Multilevel Plaquette-Space Sampling for Lattice Gauge Theories with Local Constraint Solves

arXiv:2609.35722 · hep-lat, hep-th, math-ph, math.MP, quant-ph · Submitted 2026-09-28 · Read on arXiv

hep-lat, hep-th, math-ph, math.MP, quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Normalizing Flow — 21× in this paper · explained in 3 episodes
• Normalizing Flows — 19× in this paper · explained in 4 episodes
• Generative Model — 10× in this paper · explained in 2 episodes
• Diffusion Model — 9× in this paper · explained in 8 episodes
• Generative Models — 9× in this paper · explained in 2 episodes
• Plaquette-Space Sampler — 9× in this paper
• Diffusion Models — 8× in this paper · explained in 6 episodes
• Redundancy — 7× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Holonomy — 2× in this paper · explained in 2 episodes
• Quantization — 2× in this paper · explained in 12 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Ablation — 1× in this paper · explained in 1 episode
• Ablation study — 1× in this paper · explained in 1 episode
• Alternation — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• First-Order Transition — 1× in this paper · explained in 2 episodes
• Flow Matching — 1× in this paper · explained in 7 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Gradient Flow — 1× in this paper · explained in 2 episodes
• Mode Collapse — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Stochastic Dynamics — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes
• Variational Bayes — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Generalizable Equivariant Diffusion Models for Non-Abelian Lattice Gauge Theory
• Variance reduction in lattice QCD observables via normalizing flows
• Learning the generating functional for variance reduction in lattice QCD
• Normalizing flows for lattice gauge theory in arbitrary space-time dimension
• Introduction to Normalizing Flows for Lattice Field Theory
• Sampling two-dimensional spin systems with transformers
• Variational Autoregressive Networks with probability priors
• A scalable flow-based approach to mitigate topological freezing
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• Stochastic normalizing flows for lattice field theory
• Stochastic Path Sampler For Lattice Field Theory
• Renormalizing Diffusion Models
• Comparison of topology changing update algorithms
• Improvement of Heatbath Algorithm in LFT using Generative models
• Lattice gauge equivariant convolutional neural networks
• Flow-based sampling for multimodal and extended-mode distributions in lattice field theory
• Normalizing flows for all-orders QED corrections in lattice field theory
• Generative sampling with physics-informed kernels

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