利用奇异值分解的SU(N)规范理论归一化流
Normalizing flows for SU($N$) gauge theories employing singular value decomposition
AI总结：
本文提出利用奇异值分解构造规范不变量，并以此设计SU(N)规范链环的等变变换，在4^4格点SU(3)威尔逊作用量上验证了归一化流生成规范场构型的有效性。
摘要：
我们报告了在纯SU(N)规范理论中使用归一化流生成规范场构型的研究进展。我们讨论了如何利用奇异值分解构造规范不变量，这些不变量可作为设计SU(N)规范链环的规范等变变换的基本构建块。利用这一新方法，我们在β=1的4^4格点上构建了SU(3)威尔逊作用量的代表性模型。我们训练了这些模型并对其性能进行了分析，突出了这一新技术在规范不变变换中的有效性。我们还对所提算法的效率与威尔逊圈谱流进行了比较。
英文摘要：
We present a progress report on the use of normalizing flows for generating gauge field configurations in pure SU(N) gauge theories. We discuss how the singular value decomposition can be used to construct gauge-invariant quantities, which serve as the building blocks for designing gauge-equivariant transformations of SU(N) gauge links. Using this novel approach, we build representative models for the SU(3) Wilson action on a \( 4^4 \) lattice with \( β= 1 \). We train these models and provide an analysis of their performance, highlighting the effectiveness of the new technique for gauge-invariant transformations. We also provide a comparison between the efficiency of the proposed algorithm and the spectral flow of Wilson loops.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
