  The relation between Loop Quantum Gravity and Regge calculus has been pointed
out many times in the literature. In particular the large spin asymptotics of
the Barrett-Crane vertex amplitude is known to be related to the Regge action.
In this paper we study a semiclassical regime of Loop Quantum Gravity and show
that it admits an effective description in terms of perturbative
area-Regge-calculus. The regime of interest is identified by a class of states
given by superpositions of four-valent spin networks, peaked on large spins.
  As a probe of the dynamics in this regime, we compute explicitly two- and
three-area correlation functions at the vertex amplitude level. We find that
they match with the ones computed perturbatively in area-Regge-calculus with a
single 4-simplex, once a specific perturbative action and measure have been
chosen in the Regge-calculus path integral. Correlations of other geometric
operators and the existence of this regime for other models for the dynamics
are briefly discussed.
