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.
翻译:连续归一化流以其高度表达性和灵活性而著称,这使得大对称性的融入更为便捷,并使其成为格点场论中一种强大的计算工具。基于先前的研究,我们提出了一种适用于矩阵李群的通用连续归一化流架构,该架构在群变换下保持等变性。作为原理性验证,我们将其应用于二维格点规范理论,并展示了具有竞争力的性能,从而揭示了其作为未来格点计算工具的潜力。