Multiscale Normalizing Flows for Gauge Theories
Proceedings of The 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)(2024)
Abstract
Scale separation is an important physical principle that has previously
enabled algorithmic advances such as multigrid solvers. Previous work on
normalizing flows has been able to utilize scale separation in the context of
scalar field theories, but the principle has been largely unexploited in the
context of gauge theories. This work gives an overview of a new method for
generating gauge fields using hierarchical normalizing flow models. This method
builds gauge fields from the outside in, allowing different parts of the model
to focus on different scales of the problem. Numerical results are presented
for U(1) and SU(3) gauge theories in 2, 3, and 4 spacetime dimensions.
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