Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model

Abstract

The Barrett-Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spinfoam models. Here, we complete the report on the numerical analysis of the single 4-simplex area correlations begun in Phys. Lett. B670 (2009) 403-406, 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 ansatze for the boundary state.

20 pages, 15 figures

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Cited by in corpus (13)

• SU(2) graph invariants, Regge actions and polytopes
• Holonomy spin foam models: Asymptotic geometry of the partition function
• Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
• Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
• Recurrence relations for spin foam vertices
• Asymptotic analysis of spin foam amplitude with timelike triangles
• 2-vertex Lorentzian Spin Foam Amplitudes for Dipole Transitions
• The 6j-symbol: Recursion, Correlations and Asymptotics
• Spinfoams: Foundations
• A Short and Subjective Introduction to the Spinfoam Framework for Quantum Gravity
• A New Recursion Relation for the 6j-Symbol
• Boundary State Stability under Spinfoam Evolution for the Quantum 4-Simplex
• Hessian in the spinfoam models with cosmological constant