  We discuss the generation of field-induced entanglement between two objects
each in a superposition of two trajectories.The objects have currents coupled
to local quantum fields, and the currents are evaluated around each trajectory
of the objects.The fields have only dynamical degrees of freedom and satisfy
the microcausality condition. We find that the superposed state of trajectories
cannot be entangled when the objects are spacelike separated.This means that
the quantum fields do not generate spacelike entanglement in the superposition
of two trajectories of each object.
