论文标题

鞍点的发现器及其在自旋泡沫模型中的应用

A saddle-point finder and its application to the spin foam model

论文作者

Huang, Zichang, Huang, Shan, Wan, Yidun

论文摘要

我们介绍了一个鞍点的发现器,该发现器可以为任何分析性继续行动找到复杂的鞍点。我们通过EPRL自旋泡沫模型中的两个示例来展示我们的鞍点查找器:单个顶点情况和三角剖分$Δ_3$。在这两种情况下,都发现了复杂的鞍点,并且估计每个鞍点对分区功能的贡献。我们还讨论了每个鞍点的几何解释。

We introduce a saddle-point finder that can find the complex saddle points for any analytically continued action. We showcase our saddle-point finder by two examples in the EPRL spin foam model: the single vertex case and the case of triangulation $Δ_3$. In both cases, the complex saddle points are found, and each saddle point's contribution to the partition function is estimated. We also discuss the geometrical interpretation of each saddle point.

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