2007/08/07 by Emanuele Alesci, Carlo Rovelli · 6 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Cosmology and Gravitation Theories #Formalism (music) #Graph #Gravitation #Graviton #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Propagator #Quantum #Quantum gravity #Quantum mechanics #Spin foam #Spin network #Vertex (graph theory) #gr-qc
paper · pdf · doi:10.1103/physrevd.76.104012
published as Phys.Rev.D76:104012,2007 · 31 pages
arxiv created 2007/08/07 · openalex publication_date 2007/11/09 · arxiv updated 2009/12/01 · openalex created_date 2017/03/16 · openalex updated_date 2026/08/05
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 another paper we illustrate the asymptotic behavior of a vertex amplitude that can correct this difficulty.