Non-Perturbative Trivializing Flows for Lattice Gauge Theories

Abstract

Continuous normalizing flows are known to be highly expressive and flexible, which allows for easier incorporation of large symmetries and makes them a powerful computational tool for lattice field theories. Building on previous work, we present a general continuous normalizing flow architecture for matrix Lie groups that is equivariant under group transformations. We apply this to lattice gauge theories in two dimensions as a proof of principle and demonstrate competitive performance, showing its potential as a tool for future lattice computations.

Comments: 7+7 pages, 5 figures, 4 tables; expanded published version, added 2 appendices with computational cost analysis and numerical evaluations (added 1 table and 2 figures)