The sub-leading asymptotic behaviour of area correlations in the Barrett–Crane model

2009/08/31 by J. Daniel Christensen, Igor Khavkine, Etera R. Livine +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1088/0264-9381/27/3/035012

published as Class.Quant.Grav.27:035012,2010 · 20 pages, 15 figures

arxiv created 2009/08/31 · openalex publication_date 2010/01/15 · arxiv updated 2010/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The Barrett–Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spin foam models. Here, we complete the report on the numerical analysis of the single 4-simplex area correlations begun in (2009 Phys. Lett. B 670 403–6), discussing the next-to-leading order corrections ('one-loop' corrections) with particular attention to their measure dependence, and the difference between the Gaussian and Bessel ansatz for the boundary state.

Citations

• Reconstructing Quantum Geometry from Quantum Information: Area Renormalisation, Coarse-Graining and Entanglement on Spin Networks
• LQG vertex with finite Immirzi parameter
• Quantum Nature of the Big Bang
• New spinfoam vertex for quantum gravity