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APS » Journals » Phys. Rev. D » Volume 77 » Issue 4
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Phys. Rev. D 77, 044024 (2008) [11 pages]

Complete LQG propagator. II. Asymptotic behavior of the vertex

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Emanuele Alesci1,2 and Carlo Rovelli2
1Dipartimento di Fisica, Università di Roma Tre, I-00146 Roma, Italy, EU
2Centre de Physique Théorique de Luminy, Université de la Méditerranée, F-13288 Marseille, France, EU

Received 9 November 2007; published 14 February 2008

In a previous article we have shown 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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.044024
DOI:
10.1103/PhysRevD.77.044024
PACS:
04.60.Pp

*Unité mixte de recherche (UMR 6207) du CNRS et des Universités de Provence (Aix-Marseille I), de la Mediterranée (Aix-Marseille II) et du Sud (Toulon-Var); laboratoire affilié à la FRUMAM (FR 2291).

 
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