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Normalizing flows for lattice gauge theory in arbitrary space-time dimension

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arxiv 2305.02402 v1 pith:FBCUSEAO submitted 2023-05-03 hep-lat cond-mat.stat-mechcs.LG

Ryan Abbott , Michael S. Albergo , Aleksandar Botev , Denis Boyda , Kyle Cranmer , Daniel C. Hackett , Gurtej Kanwar , Alexander G.D.G. Matthews
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Sébastien Racanière Ali Razavi Danilo J. Rezende Fernando Romero-López Phiala E. Shanahan Julian M. Urban
This is my paper · ORCID
classification hep-latcond-mat.stat-mechcs.LG
keywords latticegaugespace-timetheorydimensionsflowsnormalizingsampling
verification ladder T0 review T1 audit T2 compute T3 formal
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Applications of normalizing flows to the sampling of field configurations in lattice gauge theory have so far been explored almost exclusively in two space-time dimensions. We report new algorithmic developments of gauge-equivariant flow architectures facilitating the generalization to higher-dimensional lattice geometries. Specifically, we discuss masked autoregressive transformations with tractable and unbiased Jacobian determinants, a key ingredient for scalable and asymptotically exact flow-based sampling algorithms. For concreteness, results from a proof-of-principle application to SU(3) lattice gauge theory in four space-time dimensions are reported.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 10 citations worldwide. Full citation record

  1. Neural Non-Equilibrium Hamiltonian Monte Carlo for Corrected Boltzmann Sampling

    cs.LG 2026-07 conditional novelty 5.0 of 10

    A train-then-correct Hamiltonian Monte Carlo with learned stochastic paths gives exact Boltzmann corrections via a recorded generalized work, with limited but honest empirical validation.

  2. Studying Effective String Theory using deep generative models

    hep-lat 2025-08 conditional novelty 4.0 of 10

    Flow-based samplers numerically confirm the next-to-leading-order width and the resummed string-tension conjecture for the Nambu-Goto effective string in 2+1 dimensions.

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