Year: 2003
Type: article
Abstract: It is well known that the building blocks for state sum models of quantum gravity are given by 6 j and 10 j symbols. In this work, we study the asymptotics of these symbols by using their expressions as group integrals. We carefully describe the measure involved in terms of invariant variables and develop new technics in order to study their asymptotics. Using these technics, we compute the asymptotics of the various Euclidean and Lorentzian 6 j symbols. Finally, we compute the asymptotic expansion of the 10 j symbol which is shown to be non-oscillating, in agreement with a recent result of Baez et al . We discuss the physical origin of this behaviour and a way to modify the Barrett–Crane model in order to cure this disease.
Source: Classical and Quantum Gravity
Authors: Laurent Freidel, David Louapre
Language: Hebrew
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1533199519