27–31 May 2024
ECT*
Europe/Rome timezone

Diffusion Models as Stochastic Quantization in Lattice Field Theory

30 May 2024, 10:15
45m
Aula Renzo Leonardi (ECT*)

Aula Renzo Leonardi

ECT*

Strada delle Tabarelle 286, I-38123 Villazzano (Trento)

Speaker

Kai Zhou (Frankfurt Institute for Advanced Studies)

Description

In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of a stochastic process dictated by the Langevin equation, generating samples from a prior distribution to effectively mimic the target distribution. Using numerical simulations, we demonstrate that the DM can serve as a global sampler for generating quantum lattice field configurations in two-dimensional phi4 theory. We demonstrate that DMs can notably reduce autocorrelation times in the Markov chain, especially in the critical region where standard Markov Chain Monte-Carlo (MCMC) algorithms experience critical slowing down. The findings can potentially inspire further advancements in lattice field theory simulations,

Primary authors

Kai Zhou (Frankfurt Institute for Advanced Studies) Dr Lingxiao Wang (RIKEN-iTHEMS) Prof. Gert Aarts (Swansea University)

Presentation materials