Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/102370
Title: Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point
Authors: Katanin, A. A.
Issue Date: 2015
Publisher: Maik Nauka-Interperiodica Publishing
Citation: Katanin A. A. Functional renormalization-group approaches, one-particle (irreducible) reducible with respect to local Green’s functions, with dynamical mean-field theory as a starting point / A. A. Katanin. — DOI 10.1134/S1063776115050039 // Journal of Experimental and Theoretical Physics. — 2015. — Vol. 120. — Iss. 6. — P. 1085-1092.
Abstract: 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. © 2015, Pleiades Publishing, Inc.
Keywords: MEAN FIELD THEORY
STATISTICAL MECHANICS
2-D SYSTEMS
CORRELATED ELECTRONIC SYSTEMS
DYNAMICAL MEAN-FIELD THEORY
FUNCTIONAL RENORMALIZATION GROUP
IRREDUCIBLE REPRESENTATIONS
RENORMALIZATION GROUP
S FUNCTION
SECOND CLASS
GROUP THEORY
URI: http://hdl.handle.net/10995/102370
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 84938866937
PURE ID: 322131
744b16af-614a-4158-bed0-35b4d3b36022
ISSN: 10637761
DOI: 10.1134/S1063776115050039
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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