Time transients in the quantum corrected Newtonian potential induced by   a massless nonminimally coupled scalar field
  We calculate the one loop graviton vacuum polarization induced by a massless, nonminimally coupled scalar field on Minkowski background. We make use of the Schwinger-Keldysh formalism, which allows us to study time dependent phenomena. As an application we compute the leading quantum correction to the Newtonian potential of a point particle. The novel aspect of the calculation is the use of the Schwinger-Keldysh formalism, within which we calculate the time transients induced by switching on of the graviton-scalar coupling. 
Anja Marunovic and Tomislav Prokopec
gr-qc astro-ph.HE hep-th