Grasping rules and semiclassical limit of the geometry in the Ponzano-Regge model

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We show how the expectation values of geometrical quantities in 3d quantum gravity can be explicitly computed using grasping rules. We compute the volume of a labelled tetrahedron using the triple grasping. We show that the large spin expansion of this value is dominated by the classical expression, and we study the next to leading order quantum corrections.
18 pages, 1 figure

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/175372

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0611097
 http://arxiv.org/abs/gr-qc/0611097
 Class.Quant.Grav.24:1525-1546,2007
 doi:10.1088/0264-9381/24/6/010

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arXiv