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

Emanuele Alesci (1, 2) , Carlo Rovelli (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Emanuele Alesci, Carlo Rovelli. The complete LQG propagator: II. Asymptotic behavior of the vertex. Physical Review D, 2008, 77 (4), pp.044024. ⟨hal-00284891⟩