The Complete LQG propagator. I. Difficulties with the Barrett-Crane vertex
Aug, 2007Citations per year
Abstract: (arXiv)
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.- 04.60.Pp
- spin: network
- quantum gravity: loop space
- spin: foam
- graviton: propagator
- vertex: asymptotic behavior
- Barrett-Crane model
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