(2+1)-dimensional quantum gravity, spin networks and asymptotics

TL;DR

This paper introduces a method for evaluating spin networks in (2+1)-dimensional quantum gravity, analyzing their asymptotics across different signatures and proposing extensions to higher dimensions.

Contribution

It presents a novel technique for evaluating and analyzing spin networks in (2+1)D quantum gravity, including a new limiting case and potential generalization to higher dimensions.

Findings

Evaluation method for spin networks in various quantum gravity signatures

Asymptotic analysis of the tetrahedron spin network

Proposal for extending techniques to higher-dimensional quantum gravity

Abstract

A method to evaluate spin networks for (2+1)-dimensional quantum gravity is given. We analyse the evaluation of spin networks for Lorentzian, Euclidean and a new limiting case of Newtonian quantum gravity. Particular attention is paid to the tetrahedron and to the study of its asymptotics. Moreover, we propose that all this technique can be extended to spin networks for quantum gravity in any dimension.