2007/05/16 by Jonathan Engle, Roberto Pereira, Carlo Rovelli · 9 citations
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Covariant transformation #Euclidean quantum gravity #General relativity #Graph #Gravitation #Graviton #Hořava–Lifshitz gravity #Immirzi parameter #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum dynamics #Quantum gravity #Quantum mechanics #Spin foam #Spin network #Vertex (graph theory) #gr-qc
paper · pdf · doi:10.1103/physrevlett.99.161301
published as Phys.Rev.Lett.99:161301,2007 · 6pages
arxiv created 2007/05/16 · openalex publication_date 2007/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the most popular of these, the Barrett-Crane model, does not have the good boundary state space and there are indications that it fails to yield good low-energy n-point functions. We present an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly. Its state space matches the SO(3) loop gravity one and it yields an SO(4)-covariant vertex amplitude for Euclidean loop gravity.