提出可保持对称性的流模型，用于二维规范场论计算
Non-Perturbative Trivializing Flows for Lattice Gauge Theories
- 设计了满足群变换不变性的连续归一化流架构
- 在二维规范场论中表现媲美现有方法
- 适合需要对称性保护的量子场论数值模拟
连续归一化流以其高表达能力和灵活性著称，便于融入大对称性，是格点场论的强大计算工具。本文在前期工作基础上，提出一种适用于矩阵李群的一般连续归一化流架构，该架构在群变换下保持等变性。将其应用于二维格点规范场论作为原理验证，展示了具有竞争力的性能，表明其在未来格点计算中的潜力。
原文摘要 · Abstract (English)
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.
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