2007/08/31 by Laurent Freidel, Kirill Krasnov · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Context (archaeology) #Cosmology and Gravitation Theories #Gravitation #Group field theory #Immirzi parameter #Noncommutative and Quantum Gravity Theories #Quantization (signal processing) #Quantum gravity #Spin (aerodynamics) #Spin foam #gr-qc
paper · pdf · doi:10.1088/0264-9381/25/12/125018
published as Class.Quant.Grav.25:125018,2008 · 40 pages; (v2) published version
openalex publication_date 2008/06/03 · arxiv created 2008/06/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Starting from Plebanski formulation of gravity as a constrained BF theory we propose a new spin foam model for 4D Riemannian quantum gravity that generalizes the well-known Barrett–Crane model and resolves the inherent to it ultra-locality problem. The BF formulation of 4D gravity possesses two sectors: gravitational and topological ones. The model presented here is shown to give a quantization of the gravitational sector, and is dual to the recently proposed spin foam model of Engle et al which, we show, corresponds to the topological sector. Our methods allow us to introduce the Immirzi parameter into the framework of spin foam quantization. We generalize some of our considerations to the Lorentzian setting and obtain a new spin foam model in that context as well.