  In this paper, we study the generation of interfaces for a stochastic
Allen-Cahn equation with general initial value in the multi-dimensional case
that external noise is given by Q-Brownian motion. We prove that interfaces,
for d-dimensional stochastic Allen-Cahn equation with scaling parameter are
generated at the time of logarithmic order. Especially, in one-dimensional
case, we give more detailed estimate and shape of the generated interface.
Assuming that the Q-Brownian motion is smooth in space variable, we extend a
comparison theorem for PDE to SPDE's in order to prove the generation.
Moreover, we connect the generated interface to the motion of interface in
one-dimension which is result of Funaki.
