Renormalization group for one-dimensional fermions. A review on mathematical results
type: Item
instance of: scholarly article
title: Renormalization group for one-dimensional fermions. A review on mathematical results
zbMATH Open document ID: 0979.82027
DOI: 10.1016/S0370-1573(01)00041-2
author: Guido Gentile
author: Vieri Mastropietro
published in: Physics Reports
publication date: 2001-10-17T00:00:00Z
review text: The following topics are dealt with: 1D interacting Fermi systems, Schwinger functions and physical observables, fermionic functional integrals, multiscale decomposition, nonperturbative estmates for nonrenormalized expansion, Grassmann integrals, Holstein-Hubbard model, two-point Schwinger functions for spinless fermions, spinning fermions.
Mathematics Subject Classification ID: 82B28
zbMATH DE Number: 1661840
MaRDI profile type: Publication
cites work: Q4023953
cites work: Two soluble models of an antiferromagnetic chain
cites work: Q3276772
cites work: Analytic Properties of Bloch Waves and Wannier Functions
cites work: Absence of diffusion in the Anderson tight binding model for large disorder or low energy
cites work: Localization at large disorder and at extreme energies: an elementary derivation
cites work: The one-dimensional Schrödinger equation with a quasiperiodic potential
cites work: An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
cites work: Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
cites work: Localization bounds for an electron gas
cites work: Beta function and anomaly of the Fermi surface for a \(d=1\) system of interacting fermions in a periodic potential
cites work: Field theories for low-dimensional condensed matter systems. Spin systems and strongly correlated electrons
cites work: Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
cites work: Q4842688
cites work: Q3809004
cites work: Q5508909
cites work: A renormalizable field theory: The massive Gross-Neveu model in two dimensions
cites work: Renormalization group and the ultraviolet problem in the Luttinger model
cites work: Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
cites work: Q4871243
cites work: Electrons in a lattice with an incommensurate potential
cites work: Peierls instability for the Holstein model with rational density
cites work: Small denominators and anomalous behaviour in the incommensurate Hubbard-Holstein model
cites work: Renormalization group for the \(XYZ\) model
cites work: RENORMALIZATION GROUP, HIDDEN SYMMETRIES AND APPROXIMATE WARD IDENTITIES IN THE XYZ MODEL
cites work: Interacting Fermi liquid in two dimensions at finite temperature. I: Convergent attributions.
cites work: Interacting Fermi liquid in two dimensions at finite temperature. II: Renormalization.
cites work: Quantum many-particle systems
cites work: Q4864827
cites work: Q5530857
cites work: Proof of the Bogoliubov-Parasiuk theorem on renormalization
cites work: Convergence of Bogoliubov's method of renormalization in momentum space
cites work: Diophantine approximation
cites work: Q4378706
cites work: Twistless KAM tori
cites work: METHODS FOR THE ANALYSIS OF THE LINDSTEDT SERIES FOR KAM TORI AND RENORMALIZABILITY IN CLASSICAL MECHANICS: A review with Some Applications
cites work: Q3657476
cites work: Anderson localization for the Holstein model
cites work: A soluble relativistic field theory
cites work: A metal-insulator transition for the almost Mathieu model
cites work: The rotation number for almost periodic potentials
cites work: Ward-type identities for the two-dimensional Anderson model at weak disorder
cites work: Q3294369
cites work: Q3230257
cites work: An itinerant electron model with crystalline or magnetic long range order
cites work: Chaotic polaronic and bipolaronic states in the adiabatic Holstein model
cites work: Critical indices for the Yukawa\(_2\) quantum field theory
cites work: Anomalous superconductivity in coupled Luttinger liquids
cites work: Q4241789
cites work: Q3261425
cites work: The critical function for the semistandard map
cites work: Bryuno function and the standard map
cites work: Improved proof of existence of chaotic polaronic and bipolaronic states for the adiabatic Holstein model and generalizations
cites work: Perturbation theory around nonnested Fermi surfaces. I: Keeping the Fermi surface fixed.
cites work: Regularity of the moving Fermi surface: RPA contributions
cites work: Regularity of interacting nonspherical Fermi surfaces: The full self-energy
cites work: Q5682013
cites work: Studies of polaron motion. I: The molecular-crystal model; II: The 'small' polaron
cites work: Q5829223
cites work: Low-temperature phases of itinerant fermions interacting with classical phonons: The static Holstein model
cites work: A model for crystallization: A variation on the Hubbard model
description: scientific article; zbMATH DE number 1661840