Hawking radiation and secularly growing loop corrections

We study the expectation value of the energy momentum tensor during thin shell collapse for a massive, real, scalar field theory. At tree level, we find thermal, Hawking-type, behavior for the energy flux. Using the Schwinger-Keldysh technique, we calculate two-loop corrections to the tree-level correlation functions and show that they exhibit secular growth, suggesting the breakdown of the perturbation theory.