General Relativity and Quantum Cosmology
[Submitted on 8 Nov 2007]
Title:The complete LQG propagator: II. Asymptotic behavior of the vertex
View PDFAbstract: In a previous article we have show that there are difficulties in obtaining the correct graviton propagator from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude. Here we show that a vertex amplitude that depends nontrivially on the intertwiners can yield the correct propagator. We give an explicit example of asymptotic behavior of a vertex amplitude that gives the correct full graviton propagator in the large distance limit.
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