Finiteness of a spinfoam model for Euclidean quantum general relativity Original Research Article

We prove that a certain spinfoam model for Euclidean quantum general relativity, recently defined, is finite: all its all Feynman diagrams converge. The model is a variant of the Barrett–Crane model, and is defined in terms of a field theory over SO(4)×SO(4)×SO(4)×SO(4).