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

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

23 Jun 2022arXiv:2206.11874links table onlyarchive 2025-07-28

Zichang Huang, Shan Huang, Yidun Wan

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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 Δ₃. 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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