  Starting from a formulation of Correlated Worldline (CWL) theory in terms of
functional integrals over paths, we define propagators for particles and matter
fields in this theory. We show that the most natural formulation of CWL theory
involves a rescaling of the generating functional for the theory; correlation
functions then simplify, and all loops containing gravitons disappear from
perturbative expansions. The spacetime metric obeys the Einstein equation,
sourced by all of the interacting CWL paths. The matter paths are correlated by
gravitation, thereby violating quantum mechanics for large masses. We derive
exact results for the generating functional and the matter propagator, and for
linearized weak field theory. For the example of a two-path experiment, we
derive the CWL matter propagator, and show how the results compare with
conventional quantum theory and with semiclassical gravity. We also exhibit the
structure of low-order perturbation theory for the CWL matter propagator.
