  A model of state reduction in relativistic quantum field theory involving a
nonlinear stochastic extension of Schr\"odinger's equation is outlined. The
eigenstates of the annihilation operator are chosen as the preferred basis onto
which reduction occurs. These are the coherent states which saturate the bound
of the Heisenberg uncertainty relation, exhibiting classical-like behavior. The
quantum harmonic oscillator is studied in detail before generalizing to
relativistic scalar quantum field theory. The infinite rates of increase in
energy density which have plagued recent relativistic proposals of dynamical
state reduction are absent in this model. This is because the state evolution
equation does not drive particle creation from the vacuum. The model requires
the specification of a preferred sequence of space-like hyper-surfaces
supporting the time-like state evolution. However, it is shown that the choice
of preferred surfaces has no effect on perturbative results to second order in
the coupling parameter. It is demonstrated how state reduction to a charge
density basis can be induced in fermionic matter via an appropriate coupling to
a bosonic field undergoing this mechanism.
