Corpus ID: 221103589

Sampling using SU(N) gauge equivariant flows

  title={Sampling using SU(N) gauge equivariant flows},
  author={D. Boyda and G. Kanwar and S{\'e}bastien Racani{\`e}re and Danilo Jimenez Rezende and M. S. Albergo and K. Cranmer and D. Hackett and P. Shanahan},
  • D. Boyda, G. Kanwar, +5 authors P. Shanahan
  • Published 2020
  • Computer Science, Physics, Mathematics
  • ArXiv
  • We develop a flow-based sampling algorithm for SU(N) lattice gauge theories that is gaugeinvariant 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.