On the semiclassical limit of 4d spin foam models

Details On the semiclassical limit of 4d spin foam models On the semiclassical limit of 4d spin foam models

2008-09-15

arxiv.org/abs/0809.2280v1

Phys.Rev.D78:104023,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, 5 figures

Scientific paper

10.1103/PhysRevD.78.104023

We study the semiclassical properties of the Riemannian spin foam models with Immirzi parameter that are constructed via coherent states. We show that in the semiclassical limit the quantum spin foam amplitudes of an arbitrary triangulation are exponentially suppressed, if the face spins do not correspond to a discrete geometry. When they do arise from a geometry, the amplitudes reduce to the exponential of i times the Regge action. Remarkably, the dependence on the Immirzi parameter disappears in this limit.

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