The hessian in spin foam models

Hanno Sahlmann; Wojciech Kaminski

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

The hessian in spin foam models

Wojciech Kaminski , Hanno Sahlmann This is my paper

classification gr-qc

keywords analysisfoamhessianmodelsnondegeneratespinamplitudesasymptotic

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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.

The hessian in spin foam models

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