Einstein-Langevin Equations from Running Coupling Constants
  The Einstein-Langevin equations take into account the backreaction of quantum matter fields on the background geometry. We present a derivation of these equations to lowest order in a covariant expansion in powers of the curvature. For massless fields, the equations are completely determined by the running coupling constants of the theory. 
Fernando C. Lombardo and Francisco D. Mazzitelli