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L. Wang

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Preprint Jul 2026

Diffusion Models for Sampling Near Criticality in Lattice Field Theories

We investigate generative diffusion models as denoising samplers for two- and three-dimensional lattice $\phi^4$ theory across the symmetric, near-critical, and broken phases. Validated against ensembles generated by Fourier-accelerated HMC combined with Wolff cluster updates, the reverse-SDE sampler reproduces scalar...

Yang-yang Tan, G. Aarts, Diaa E. Habibi et al. · 3 citations
Preprint Jul 2026

Stochastic Quantization as Optimal Control

Stochastic quantization defines a Euclidean quantum field theory as the equilibrium of a fictitious-time Langevin dynamics, which reaches the Gibbs measure asymptotically and is formulated as a finite-time stochastic optimal control problem.

L. Wang · 0 citations

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