The 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 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