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.
@article{arxiv.1307.3475,
title = {From infinite to two dimensions through the functional renormalization group},
author = {C. Taranto and S. Andergassen and J. Bauer and K. Held and A. Katanin and W. Metzner and G. Rohringer and A. Toschi},
journal= {arXiv preprint arXiv:1307.3475},
year = {2014}
}