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A saddle-point finder and its application to the spin foam model (2206.11874v1)

Published 23 Jun 2022 in gr-qc, hep-lat, and hep-th

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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