Saddle-point finder and its application to the spin foam model
2023; American Physical Society; Volume: 107; Issue: 4 Linguagem: Inglês
10.1103/physrevd.107.046011
ISSN2470-0037
AutoresZichang Huang, Shan Huang, Yidun Wan,
Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoWe 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 ${\mathrm{\ensuremath{\Delta}}}_{3}$. 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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