Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED

During inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\u{\i} has developed such a technique for simple scalDuring inflation quantum effects from massless, minimally coupled scalars and gravitons can be strengthened so much that perturbation theory breaks down. To follow the subsequent evolution one must employ a nonperturbative resummation. Starobinski\u{\i} has developed such a technique for simple scalar theories. I discuss recent progress in applying this technique to more complicated models.