  We consider tree-level off-shell currents of two massive particles and $n$
massless bosons in the classical limit, which can be fused into the classical
limit of $n+2$ scattering amplitudes. We show that dressing up the current with
coherent wave-functions associated with the massive particles leads to the
recently proposed Worldline Quantum Field Theory (WQFT) path integral. The
currents thus constructed encode solutions of classical equations of motion so
they can be applied to contexts where the classical limit is relevant,
including hard thermal loops. We give several examples of these currents in
scalar, gauge and gravitational theories.
