A coupling-flow global proposal for Monte Carlo sampling in 2D pure SU(2) lattice gauge theory is shown to be formally valid and to reproduce the target ensemble in proof-of-principle tests, with modest hybrid gains but no clear outperformance over local baselines.
Canonical reference
Abbott et al.,Normalizing flows for lattice gauge theory in arbitrary space-time dimension,2305.02402
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Sampling two-dimensional spin systems with transformers
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