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

Shan Huang; Yidun Wan; Zichang Huang

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

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arxiv 2206.11874 v1 pith:TIB7P5FI submitted 2022-06-23 gr-qc hep-lathep-th

Zichang Huang , Shan Huang , Yidun Wan This is my paper · ORCID

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keywords saddlefindersaddle-pointcasecomplexfoammodelpoint

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abstract

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 $\Delta_3$. 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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