  We show that if the primordial classical perturbations were generated by the
gravitational particle creation during inflation, and followed by an evolution
of quantum-to-classical transition,the time dependent correlation of these
perturbations is long-tailed with a correlation time larger than the
Hubble-time. Consequently, the inflationary perturbations are locally
scale-scale correlated. Hence, the interaction of the fields during inflation
can be explored via the detection of the local scale-scale correlation of the
CMB fluctuations.
