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

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

2006-11-17

arxiv.org/abs/gr-qc/0611097v1

Class.Quant.Grav.24:1525-1546,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 1 figure

Scientific paper

10.1088/0264-9381/24/6/010

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.

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