  We use a $\lambda\Phi^4$ scalar quantum field theory to illustrate a new
approach to the study of quantum to classical transition. In this approach, the
decoherence functional is employed to assign probabilities to consistent
histories defined in terms of correlations among the fields at separate points,
rather than the field itself. We present expressions for the quantum amplitudes
associated with such histories, as well as for the decoherence functional
between two of them. The dynamics of an individual consistent history may be
described by a Langevin-type equation, which we derive. \noindent {\it
Dedicated to Professor Brill on the occasion of his sixtieth birthday, August
1993}
