  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.
