Nonperturbative trivializing flows for lattice gauge theories

Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-11-11
DOI
https://doi.org/10.1103/31d5-hvp6
Citations
1
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
1.87
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article

Nonperturbative trivializing flows for lattice gauge theories

Roberto Bondesan, Mathis Gerdes, Peter Haan, Miranda C. N. Cheng
1 citations
Physical review. D/Physical review. D.
Quantum Chromodynamics and Particle Interactions
1.87
article

Nonperturbative trivializing flows for lattice gauge theories

Roberto Bondesan, Mathis Gerdes, Peter Haan, Miranda C. N. Cheng
article en
1 citations

Abstract

Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations.

Physical review. D/Physical review. D.Vol. 112(9)
York College, City University of New York (US), Academic Center for Dentistry Amsterdam (NL), NIHR Imperial Biomedical Research Centre (GB), Imperial College London (GB), Amsterdam University of Applied Sciences (NL), Academia Sinica (TW), University of Amsterdam (NL)
Openalex Percentile: Top 11%
Quantum Chromodynamics and Particle Interactions
1.87
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