Ref HAL: hal-00264038_v1
Ref Arxiv: 0802.3389
DOI: 10.1103/PhysRevD.78.044033
WoS: 000259368500081
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
35 Citations
Résumé:

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.