Normalizing flows for the real-time sign problem
High Energy Physics - Lattice
2022-01-03 v1
Abstract
We discuss the application of normalizing flows to bosonic lattice field theories with real-time sign problems. A normalizing flow, once it is found for such a lattice field theory, is guaranteed to solve its sign problem. We argue for the existence of normalizing flows for bosonic lattice field theories in the Schwinger-Keldish formalism in a few ways. We then discuss how this existence is a specific feature of bosonic theories: such arguments break down for fermionic systems, whether at finite density or in real-time.
Cite
@article{arxiv.2112.15035,
title = {Normalizing flows for the real-time sign problem},
author = {Yukari Yamauchi and Scott Lawrence},
journal= {arXiv preprint arXiv:2112.15035},
year = {2022}
}
Comments
9 pages, 3 figures. Talk presented at the 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology