  We present a Monte Carlo approach to incorporating the effect of thermal
fluctuations in field theories of polymeric fluids. This method is applied to a
field-theoretic model of a ternary blend of AB diblock copolymers with A and B
homopolymers. We find a shift in the line of order-disorder transitions from
their mean-field values, as well as strong signatures of the existence of a
bicontinuous microemulsion phase in the vicinity of the mean-field Lifshitz
critical point. This is in qualitative agreement with a recent series of
experiments conducted with various three-dimensional realizations of this model
system. Further, we also compare our results and the performance of the
presently proposed simulation method to that of an alternative method involving
the integration of complex Langevin dynamical equations.
