  At finite temperature and in non-equilibrium environments we have to resum
perturbation theory to avoid infrared divergences. Since resummation shuffles
the perturbative orders, renormalizability is a nontrivial issue. In this paper
we demonstrate that one can modify any type of resummations -- even if it is
momentum dependent, or it resums higher point functions -- in a way that it is
renormalizable with the usual zero temperature counterterms. To achieve this
goal we reformulate resummation in form of a renormalization scheme. We apply
this technique to perform a 2PI resummation in the six dimensional cubic scalar
model in equilibrium.
