Stochastic normalizing flows for lattice field theory

Abstract

Stochastic normalizing flows are a class of deep generative models that combine normalizing flows with Monte Carlo updates and can be used in lattice field theory to sample from Boltzmann distributions. In this proceeding, we outline the construction of these hybrid algorithms, pointing out that the theoretical background can be related to Jarzynski's equality, a non-equilibrium statistical mechanics theorem that has been successfully used to compute free energy in lattice field theory. We conclude with examples of applications to the two-dimensional ${\varphi }^4$ field theory.

Comments: 9 pages, 4 figures, contribution for the 39th International Symposium on Lattice Field Theory, 8th-13th August, 2022, Bonn, Germany