Description
Starting from the 2PI effective action formalism, we develop a systematic scheme to include leading radiative corrections into the evaluation of the bubble nucleation rate during a first order phase transition. This results in a system of coupled differential equations for the 1- and 2-point functions in Euclidean spacetime, which we must solve self-consistently. As a first step, we make a local extension of the Hartree approximation, which allows for a careful treatment of the translational zero modes. We discuss the renormalisation of the self-energy that must be done at every step of the iteration procedure. At last, we show numerical results for a choice of potential and parameters.
