  We study the semiclassical behavior of Lorentzian
Engle-Pereira-Rovelli-Livine (EPRL) spinfoam model, by taking into account of
the sum over spins in the large spin regime. The large spin parameter \lambda
and small Barbero-Immirzi parameter \gamma are treated as two independent
parameters for the asymptotic expansion of spinfoam state-sum (such an idea was
firstly pointed out in arXiv:1105.0216). Interestingly, there are two different
spin regimes: 1<<\gamma^{-1}<<\lambda<<\gamma^{-2} and \lambda>\gamma^{-2}. The
model in two spin regimes has dramatically different number of effective
degrees of freedom. In 1<<\gamma^{-1}<<\lambda<<\gamma^{-2}, the model produces
in the leading order a functional integration of Regge action, which gives the
discrete Einstein equation for the leading contribution. There is no
restriction of Lorentzian deficit angle in this regime. In the other regime
\lambda>\gamma^{-2}, only small deficit angle is allowed
|\Theta_f|<<\gamma^{-1}\lambda^{1/2}$ mod 4\pi Z. When spins go even larger,
only zero deficit angle mod 4\pi Z is allowed asymptotically. In the transition
of the two regimes, only the configurations with small deficit angle can
contribute, which means one need a large triangulation in order to have
oscillatory behavior of the spinfoam amplitude.
