Renormalization of a non-renormalizable quantum field theory

We present a rigorous construction of the continuum limit for a perturbatively non-renormalizable euclidean quantum field theory: the Gross-Neveu model in two dimensions with bare propagator $\textcolor{red}{}\text{/|p|}{}^{\mathrm{2??}}$ for ?>0 small. The construction proceeds via the control of the flow of Wilson's renormalization group around the non-gaussian ultraviolet stable fixed point in the space of effective actions.