Phys. Rev. Lett. 99, 161301 (2007) [4 pages]Loop-Quantum-Gravity Vertex AmplitudeReceived 16 June 2007; published 16 October 2007 Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the most popular of these, the Barrett-Crane model, does not have the good boundary state space and there are indications that it fails to yield good low-energy n-point functions. We present an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly. Its state space matches the SO(3) loop gravity one and it yields an SO(4)-covariant vertex amplitude for Euclidean loop gravity. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.161301
DOI:
10.1103/PhysRevLett.99.161301
PACS:
04.60.Pp
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