Non-Perturbative Trivializing Flows for Lattice Gauge Theories

Data generated to produce figures and tables. 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.为生成图表与表格而构建的数据集。 摘要： 连续归一化流（Continuous Normalizing Flows）以极强的表达能力与灵活性著称，其更易于融入大规模对称性，因此成为格点场论（Lattice Field Theories）领域的强大计算工具。本研究在既往工作的基础上，提出了一种针对矩阵李群（Matrix Lie Groups）的通用连续归一化流架构，该架构在群变换下具备等变性。我们将此架构应用于二维格点规范场论以完成原理性验证，并验证了其具有竞争力的性能，由此证明其有望成为未来格点计算的有力工具。