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arXiv · 2112.15035

Normalizing flows for the real-time sign problem

Yukari Yamauchi·Scott Lawrence
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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.

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Yukari Yamauchi, Scott Lawrence. 2021-12-30. Normalizing flows for the real-time sign problem. https://arxiv.org/abs/2112.15035

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