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arxiv: 2008.05456 · v2 · pith:G6PPSRMNnew · submitted 2020-08-12 · ✦ hep-lat · cs.LG· stat.ML

Sampling using SU(N) gauge equivariant flows

Denis Boyda , Gurtej Kanwar , S\'ebastien Racani\`ere , Danilo Jimenez Rezende , Michael S. Albergo , Kyle Cranmer , Daniel C. Hackett , Phiala E. Shanahan This is my paper
classification ✦ hep-lat cs.LGstat.ML
keywords gaugeflow-basedflowslatticesamplingvariablealgorithmalternative
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We develop a flow-based sampling algorithm for $SU(N)$ lattice gauge theories that is gauge-invariant by construction. Our key contribution is constructing a class of flows on an $SU(N)$ variable (or on a $U(N)$ variable by a simple alternative) that respect matrix conjugation symmetry. We apply this technique to sample distributions of single $SU(N)$ variables and to construct flow-based samplers for $SU(2)$ and $SU(3)$ lattice gauge theory in two dimensions.

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