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Equivariant flow-based sampling for lattice gauge theory

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arxiv 2003.06413 v1 pith:4VKY4VGJ submitted 2020-03-13 hep-lat cond-mat.stat-mechcs.LG

Equivariant flow-based sampling for lattice gauge theory

classification hep-lat cond-mat.stat-mechcs.LG
keywords samplinggaugeflow-basedlatticetheoryalgorithmsapplicationapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We define a class of machine-learned flow-based sampling algorithms for lattice gauge theories that are gauge-invariant by construction. We demonstrate the application of this framework to U(1) gauge theory in two spacetime dimensions, and find that near critical points in parameter space the approach is orders of magnitude more efficient at sampling topological quantities than more traditional sampling procedures such as Hybrid Monte Carlo and Heat Bath.

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