Random-field effects on the kinetics of a magnetic system with continuous symmetry

We study the time-dependent Ginzburg-Landau model with a nonconserved order parameter in the presence of Gaussianly distributed random fields in the large-N limit. It is shown that the random fields destroy the phase transition present in the absence of the random fields. The growth kinetics are studied as a function of the variance of the random field. For weak randomness there is a substantial time regime over which the system orders by growing large domains, but this process eventually terminates with the equilibration of a ``domain'' state and breakdown of dynamic scaling.