  We consider weak values in the Feynman propagator framework, to gain a
broader understanding of their interpretation in terms of path integrals. In
particular, we examine the phenomenon of seemingly discontinuous paths that
particles take in nested Mach-Zender interferometer experiments. We extend on
existing path integral approaches for weak values by deriving expressions to
model a sequence of weak measurements, and study the probe shifts across the
different branches of a weak value interferometer. We apply this to scrutinise
two scenarios of interest, one which treats photons as measurement apparatus
via their spatial projection operators, and the second treating mirrors as
probes.
