  The formulation of quantum mechanics developed by Bohm, which can generate
well-defined trajectories for the underlying particles in the theory, can
equally well be applied to relativistic Quantum Field Theories to generate
dynamics for the underlying fields. However, it does not produce trajectories
for the particles associated with these fields. Bell has shown that an
extension of Bohm's approach can be used to provide dynamics for the fermionic
occupation numbers in a relativistic Quantum Field Theory. In the present
paper, Bell's formulation is adopted and elaborated on, with a full account of
all technical detail required to apply his approach to a bosonic quantum field
theory on a lattice. This allows an explicit computation of (stochastic)
trajectories for massive and massless particles in this theory. Also particle
creation and annihilation, and their impact on particle propagation, is
illustrated using this model.
