2011/05/03 by Carlo Rovelli, Mingyi Zhang
Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Euclidean geometry #Euclidean quantum gravity #Euclidean space #Function (biology) #General relativity #Geometry #Group field theory #Limit (mathematics) #Loop quantum gravity #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #Position (finance) #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Spin (aerodynamics) #Spin foam #Spin network #Theoretical physics #Vertex (graph theory) #gr-qc
paper · pdf · doi:10.1088/0264-9381/28/17/175010
16 pages
arxiv created 2011/05/03 · openalex publication_date 2011/08/12 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region of γ < 1. We find results consistent with Regge calculus in the limit γ → 0, j → ∞. We also compute the tree-level three-point function of perturbative quantum general relativity in position space and discuss the possibility of directly comparing the two results.