The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
| dc.creator | Alesci, Emanuele | |
| dc.creator | Rovelli, Carlo | |
| dc.date | 2007-08-07 | |
| dc.date.accessioned | 2026-07-07T11:52:54Z | |
| dc.date.available | 2026-07-07T11:52:54Z | |
| dc.description | Some components of the graviton two-point function have been recently computed in the context of loop quantum gravity, using the spinfoam Barrett-Crane vertex. We complete the calculation of the remaining components. We find that, under our assumptions, the Barrett-Crane vertex does not yield the correct long distance limit. We argue that the problem is general and can be traced to the intertwiner-independence of the Barrett-Crane vertex, and therefore to the well-known mismatch between the Barrett-Crane formalism and the standard canonical spin networks. In a companion paper we illustrate the asymptotic behavior of a vertex amplitude that can correct this difficulty. | |
| dc.description | 31 pages | |
| dc.identifier | https://arxiv.org/abs/0708.0883 | |
| dc.identifier | http://arxiv.org/abs/0708.0883 | |
| dc.identifier | Phys.Rev.D76:104012,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.104012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204344 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex | |
| dc.type | text |