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We present a novel scheme for an unbiased and non-perturbative treatment ofstrongly correlated fermions. The proposed approach combines two of the mostsuccessful many-body methods, i.e., the dynamical mean field theory (DMFT) andthe functional renormalization group (fRG). Physically, this allows for asystematic inclusion of non-local correlations via the flow equations of thefRG, after the local correlations are taken into account non-perturbatively bythe DMFT. To demonstrate the feasibility of the approach, we present numericalresults for the two-dimensional Hubbard model at half-filling.

From infinite to two dimensions through the functional renormalization group