  We consider spinfoam quantum gravity on a spacetime decomposition with many
4-simplices, in the double scaling limit in which the Immirzi parameter
$\gamma$ is sent to zero (flipped limit) and the physical area in Planck units
($\gamma$ times the spin quantum number $j$) is kept constant. We show that the
quantum amplitude takes the form of a Regge-like path integral and enforces
Einstein equations in the semiclassical regime. In addition to quantum
corrections which vanish when the Planck constant goes to zero, we find new
corrections due to the discreteness of geometric spectra which is controlled by
the Immirzi parameter.
