The 2PI coupling expansion revisited

Recently, out-of-equilibrium field theory has been studied using approximations based on truncations of the 2PI effective action. Although results are promising, the convergence of subsequent orders of the approximation is difficult to get a handle on, mainly because, generically, only the lowest non-trivial order is currently numerically tractable. We study one specific case, the broken phase of the phi^4 model, where the existence of an effective three point vertex makes it possible to compare a lowest and next-to-lowest non-trivial order.