Abstract
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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