Simplicity and closure constraints in spin foam models of gravity

Details Simplicity and closure constraints in spin foam models of gravity Simplicity and closure constraints in spin foam models of gravity

2008-02-23

arxiv.org/abs/0802.3389v2

Phys.Rev.D78:044033,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages; references added, some clarifications in discussion

Scientific paper

10.1103/PhysRevD.78.044033

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.

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