FUNCTIONAL RENORMALIZATION-GROUP APPROACHES, ONE-PARTICLE (IR)REDUCIBLE WITH RESPECT TO LOCAL GREEN's FUNCTIONS, WITH DYNAMICAL MEAN-FIELD THEORY AS A STARTING POINT
Katanin A.A.

Received: November 5, 2014

DOI: 10.7868/S0044451015060191

DJVU (100.4K)

PDF (240K)

We consider formulations of the functional renormalization-group (fRG) flow for correlated electronic systems with the dynamical mean-field theory as a starting point. We classify the corresponding renormalization-group schemes into those neglecting one-particle irreducible six-point vertices (with respect to the local Green's functions) and neglecting one-particle reducible six-point vertices. The former class is represented by the recently introduced DMF²RG approach [31], but also by the scale-dependent generalization of the one-particle irreducible representation (with respect to local Green's functions, 1PI-LGF) of the generating functional [20]. The second class is represented by the fRG flow within the dual fermion approach [16,32]. We compare formulations of the fRG approach in each of these cases and suggest their further application to study 2D systems within the Hubbard model.