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06 October 2022
 
  » arxiv » hep-th/0209134

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Asymptotics of 6j and 10j symbols
Laurent Freidel ; David Louapre ;
Date 17 Sep 2002
Journal Class.Quant.Grav. 20 (2003) 1267-1294
Subject High Energy Physics - Theory; Quantum Algebra | hep-th gr-qc math.QA
AffiliationPI), David Louapre (ENS-Lyon
AbstractIt is well known that the building blocks for state sum models of quantum gravity are given by 6j and 10j 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 6j-symbols. Finally we compute the asymptotic expansion of the 10j 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 behavior and a way to modify the Barrett-Crane model in order to cure this disease.
Source arXiv, hep-th/0209134
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