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arXiv · 0711.1284

The complete LQG propagator: II. Asymptotic behavior of the vertex

Emanuele Alesci·Carlo Rovelli
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Abstract

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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Emanuele Alesci, Carlo Rovelli. 2007-11-08. The complete LQG propagator: II. Asymptotic behavior of the vertex. https://doi.org/10.1103/physrevd.77.044024

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