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arXiv · 2603.12501

Normalizing-flow-based density of states for (1+1)D U(1) lattice gauge theory with a $\theta$-term

Simran Singh·Lena Funcke
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Abstract

A normalizing-flow-based implementation of the density-of-states approach has recently been used to successfully reconstruct the partition function of (1+1)D scalar lattice field theory. In this preliminary work, we extend this framework to a lattice gauge theory by employing gauge-equivariant normalizing flows to reconstruct the density of states of pure (1+1)D U(1) lattice gauge theory, both with and without a $\theta$-term. In the absence of a $\theta$-term, we first demonstrate that the normalizing-flow-based reconstruction of the density of states reproduces the known analytic results for this theory. We further show that, in the presence of a $\theta$-term, this formulation enables the generation of gauge-field configurations at fixed values of the topological charge.

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Simran Singh, Lena Funcke. 2026-03-12. Normalizing-flow-based density of states for (1+1)D U(1) lattice gauge theory with a $\theta$-term. https://arxiv.org/abs/2603.12501

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