Abstract
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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CITATION STYLE
Boyda, D., Kanwar, G., Racanière, S., Rezende, D. J., Albergo, M. S., Cranmer, K., … Shanahan, P. E. (2021). Sampling using SU (N) gauge equivariant flows. Physical Review D, 103(7). https://doi.org/10.1103/PhysRevD.103.074504
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