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

TL;DR

This paper analyzes the next-to-leading order corrections in area correlations within the Barrett-Crane spin foam model for quantum gravity, focusing on measure dependence and boundary state ansatz differences.

Contribution

It provides a detailed numerical analysis of one-loop corrections and compares Gaussian and Bessel boundary states in the Barrett-Crane model.

Findings

Next-to-leading order corrections depend on the measure used.

Differences observed between Gaussian and Bessel boundary states.

Numerical methods effectively probe sub-leading asymptotic behavior.

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.