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Physical Review D 78 (2008) 044033
Simplicity and closure constraints in spin foam models of gravity
Sergey Alexandrov1
(14/08/2008)

We revise imposition of various constraints in spin foam models of 4-dimensional general relativity. We argue that the usual simplicity constraint must be supplemented by a constraint on holonomies and together they must be inserted explicitly into the discretized path integral. At the same time, the closure constraint must be relaxed so that the new constraint expresses covariance of intertwiners assigned to tetrahedra by spin foam quantization. As a result, the spin foam boundary states are shown to be realized in terms of projected spin networks of the covariant loop approach to quantum gravity.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Physique/Physique mathématique

Physique/Relativité Générale et Cosmologie Quantique
quantum gravity – spin foam models
Lien vers le texte intégral : 
http://fr.arXiv.org/abs/0802.3389