%0 Journal Article %T From infinite to two dimensions through the functional renormalization group %A C. Taranto %A S. Andergassen %A J. Bauer %A K. Held %A A. Katanin %A W. Metzner %A G. Rohringer %A A. Toschi %J Physics %D 2013 %I arXiv %R 10.1103/PhysRevLett.112.196402 %X We present a novel scheme for an unbiased and non-perturbative treatment of strongly correlated fermions. The proposed approach combines two of the most successful many-body methods, i.e., the dynamical mean field theory (DMFT) and the functional renormalization group (fRG). Physically, this allows for a systematic inclusion of non-local correlations via the flow equations of the fRG, after the local correlations are taken into account non-perturbatively by the DMFT. To demonstrate the feasibility of the approach, we present numerical results for the two-dimensional Hubbard model at half-filling. %U http://arxiv.org/abs/1307.3475v2