Block renormalization groups in a formalism with lattice wavelets: Correlation function formulas for interacting fermions
type: Item
instance of: scholarly article
title: Block renormalization groups in a formalism with lattice wavelets: Correlation function formulas for interacting fermions
zbMATH Open document ID: 0926.46064
author: Aldo Procacci
author: Emmanuel A. Pereira
published in: Annals of Physics
publication date: 1999-06-02T00:00:00Z
review text: Lattice wavelets are placed at the fundament of the renormalization group (RG) to treat interacting fermions on a lattice. Previous work has revealed that there is some `orthogonality between different scales' that simplified the construction of correlation functions. The extension of these results for fermionic systems is discussed in the present work, though no specific model of selfinteracting Fermi fields is considered. The article has two parts: the first part reviews important results (uniform exponential decay etc.) and structures published earlier, then points at some generalizations of the known RG method, and finally discusses lattice wavelets suitably adapted to the Fermi situation. The second part is devoted to the explaining the multiscale formalism for interacting fermions. The hope is expressed that the RG flow may even be easier for fermions than it is for bosons.
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 81T16
Mathematics Subject Classification ID: 81T17
Mathematics Subject Classification ID: 81T25
Mathematics Subject Classification ID: 81T27
zbMATH DE Number: 1294575
zbMATH Keywords: lattice wavelets
zbMATH Keywords: uniform exponential decay
zbMATH Keywords: orthogonality between different scales
zbMATH Keywords: renormalization group
zbMATH Keywords: interacting fermions on a lattice
zbMATH Keywords: correlation functions
zbMATH Keywords: fermionic systems
zbMATH Keywords: model of selfinteracting Fermi fields
reviewed by: Gert Roepstorff
MaRDI profile type: Publication
full work available at URL: aphy.1996.5651
OpenAlex ID: W1965383391
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cites work: Beta function and Schwinger functions for a many fermions system in one dimension. Anomaly of the Fermi surface
DOI: 10.1006/APHY.1996.5651
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description: scientific article; zbMATH DE number 1294575