2013/09/06 by John W. Barrett, Steven Kerr, Barrett, John W. +1
Mathematics · Physics and Astronomy · #83C45 #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1309.1660
openalex publication_date 2013/09/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The gauge gravity action for general relativity in any dimension using a connection for the Euclidean or Poincaré group and a symmetry-breaking scalar field is written using a particularly simple matrix technique. A discrete version of the gauge gravity action for variables on a triangulated 3-manifold is given and it is shown how, for a certain class of triangulations of the three-sphere, the discrete quantum model this defines is equivalent to the Ponzano-Regge model of quantum gravity.