Pushing the asymptotics of the6j-symbol further

2009/05/26 by Maïté Dupuis, Maite Dupuis, Etera R. Livine · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1103/physrevd.80.024035

published as Phys.Rev.D80:024035,2009 · 16 pages

arxiv created 2009/05/26 · openalex publication_date 2009/07/24 · arxiv updated 2010/04/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the context of spin-foam models for quantum gravity, we investigate the asymptotical behavior of the 6j-symbol at next-to-leading order. This gives the first quantum gravity correction to the (3d) Regge action. We compute it analytically and check our results against numerical calculations. The 6j-symbol is the building block of the Ponzano-Regge amplitudes for 3d quantum gravity, and the present analysis is directly relevant to deriving the quantum corrections to gravitational correlations in the spin-foam formalism.

Citations

• Quantum gravity in terms of topological observables
• A lattice worldsheet sum for 4-d Euclidean general relativity
• A new class of group field theories for first order discrete quantum gravity
• LQG vertex with finite Immirzi parameter
• New spinfoam vertex for quantum gravity

Cited by

• Asymptotes in SU(2) Recoupling Theory: Wigner Matrices, 3j Symbols, and Character Localization