 |
university of Provence - Aix-Marseille I |  |
|
university of Provence - Aix-Marseille I | |
| HAL: hal-00166827, version 1 |
| arXiv: 0708.0883 |
| Detailed view |  Export this paper |
 |
| Physical Review D 76, 10 (2007) 104012 |
|
|
|
|
| The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex |
|
|
| Emanuele Alesci 1Carlo Rovelli 1 |
|
|
| (2007-11-15) |
|
|
|
| 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. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Centre de Physique Théorique (CPT) |
|
|
|
CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
|
|
|
|
|
|
|
|
|
| Subject | : | Physics/General Relativity and Quantum Cosmology |
|
|
| Fulltext link: |
|
| http://fr.arXiv.org/abs/0708.0883 |
| hal-00166827, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00166827 | |
| oai:hal.archives-ouvertes.fr:hal-00166827 | |
| From: Rovelli Carlo | |
| Submitted on: Friday, 10 August 2007 12:28:01 | |
| Updated on: Tuesday, 17 February 2009 16:02:57 | |
