ZhETF, Vol. 147,
p. 1254 (June 2015)
(English translation - JETP,
Vol. 120, No. 6,
available online at www.springer.com
FUNCTIONAL RENORMALIZATION-GROUP APPROACHES, ONE-PARTICLE (IR)REDUCIBLE WITH RESPECT TO LOCAL GREEN's FUNCTIONS, WITH DYNAMICAL MEAN-FIELD THEORY AS A STARTING POINT
Received: November 5, 2014
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 , 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 . 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.