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 respects 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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