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The hessian in spin foam models

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arxiv 1906.05258 v1 pith:BOK2G2FV submitted 2019-06-12 gr-qc

Wojciech Kaminski , Hanno Sahlmann This is my paper · ORCID
classification gr-qc
keywords analysisfoamhessianmodelsnondegeneratespinamplitudesasymptotic
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abstract

We fill one of the remaining gaps in the asymptotic analysis of the vertex amplitudes of the Engle-Pereira-Rovelli-Livine (EPRL) spin foam models: We show that the hessian is nondegenerate for the stationary points that corresponds to geometric nondegenerate $4$ simplices. Our analysis covers the case when all faces are spacelike.

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