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Super-Resolving Normalising Flows for Lattice Field Theories

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arxiv 2412.12842 v1 pith:2WOJU3M7 submitted 2024-12-17 hep-lat cond-mat.stat-mechphysics.comp-ph

Super-Resolving Normalising Flows for Lattice Field Theories

classification hep-lat cond-mat.stat-mechphysics.comp-ph
keywords latticenormalisingfieldflowsallowsbenefitscoarseimprovements
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a renormalisation group inspired normalising flow that combines benefits from traditional Markov chain Monte Carlo methods and standard normalising flows to sample lattice field theories. Specifically, we use samples from a coarse lattice field theory and learn a stochastic map to the targeted fine theory. The devised architecture allows for systematic improvements and efficient sampling on lattices as large as $128 \times 128$ in all phases when only having sampling access on a $4\times 4$ lattice. This paves the way for reaping the benefits of traditional MCMC methods on coarse lattices while using normalising flows to learn transformations towards finer grids, aligning nicely with the intuition of super-resolution tasks. Moreover, by optimising the base distribution, this approach allows for further structural improvements besides increasing the expressivity of the model.

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Cited by 1 Pith paper

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

  1. Diffusion Models for Sampling Near Criticality in Lattice Field Theories

    hep-lat 2026-07 accept novelty 6.0

    Fully convolutional diffusion models trained on small lattices transfer to unseen larger volumes for 2D/3D phi^4 sampling across phases, matching or beating same-size training on most observables.