Searching for classical geometries in spin foam amplitudes: a numerical method - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Class.Quant.Grav. Année : 2020

Searching for classical geometries in spin foam amplitudes: a numerical method

Résumé

We develop a numerical method to investigate the semiclassical limit of spin foam amplitudes with many vertices. We test it using the Ponzano–Regge model, a spin foam model for three-dimensional euclidean gravity, and a transition amplitude with three vertices. We study the summation over bulk spins, and we identify the stationary phase points that dominate it and that correspond to classical geometries. We complement with the numerical analysis of a four vertex transition amplitude and with a modification of the model that includes local curvature. We discuss the generalization of our results to the four-dimensional EPRL spin foam model, and we provide suggestions for new computations.
Fichier principal
Vignette du fichier
1909.07832.pdf (2.23 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02338491 , version 1 (25-02-2024)

Identifiants

Citer

Pietro Donà, Francesco Gozzini, Giorgio Sarno. Searching for classical geometries in spin foam amplitudes: a numerical method. Class.Quant.Grav., 2020, 37 (9), pp.094002. ⟨10.1088/1361-6382/ab7ee1⟩. ⟨hal-02338491⟩
221 Consultations
3 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More