  We present a theory of phase transition in quantum critical paraelectrics in
presence of quenched random-Tc disorder using replica trick. The effects of
disorder induced locally ordered regions and their slow dynamics are included
by breaking the replica symmetry at vector level. The occurrence of a mixed
phase at any finite value of disorder strength is argued. A broad power law
distribution of quantum critical points and and its finite temperature
consequences are predicted. Results are interesting in the context of a certain
class of disordered materials near quantum phase transition.
