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

Abstract

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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• Group Integral Techniques for the Spinfoam Graviton Propagator
• Towards the graviton from spinfoams: higher order corrections in the 3d toy model
• A semiclassical tetrahedron
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Cited by in corpus (4)

• Linearized dynamics from the 4-simplex Regge action
• Coupling gauge theory to spinfoam 3d quantum gravity
• 3d Quantum Gravity: Coarse-Graining and q-Deformation
• Physical boundary state for the quantum tetrahedron