%0 Journal Article
%T Simplicity and closure constraints in spin foam models of gravity
%+ Laboratoire de Physique Théorique et Astroparticules (LPTA)
%A Alexandrov, Sergey
%< avec comité de lecture
%Z 08-005; 08-005
%@ 1550-7998
%J Physical Review D
%I American Physical Society
%V 78
%P 044033
%8 2008-08-14
%D 2008
%Z 0802.3389
%R 10.1103/PhysRevD.78.044033
%K quantum gravity
%K spin foam models
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]Journal articles
%X 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.
%G English
%L hal-00264038
%U https://hal.science/hal-00264038
%~ IN2P3
%~ LPTA
%~ CNRS
%~ UNIV-MONTP2
%~ TDS-MACS
%~ UNIV-MONTPELLIER
%~ UM1-UM2