Numerical indications on the semiclassical limit of the flipped vertex

Abstract

We introduce a technique for testing the semiclassical limit of a quantum gravity vertex amplitude. The technique is based on the propagation of a semiclassical wave packet. We apply this technique to the newly introduced "flipped" vertex in loop quantum gravity, in order to test the intertwiner dependence of the vertex. Under some drastic simplifications, we find very preliminary, but surprisingly good numerical evidence for the correct classical limit.

4 pages, 8 figures

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Cited by in corpus (9)

• LQG vertex with finite Immirzi parameter
• The complete LQG propagator: II. Asymptotic behavior of the vertex
• Spinfoams in the holomorphic representation
• Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
• Semiclassical regime of Regge calculus and spin foams
• Spin-Foam Models and the Physical Scalar Product
• Coherent states for FLRW space-times in loop quantum gravity
• Intertwiner dynamics in the flipped vertex
• Tensorial Structure of the LQG graviton propagator