Algebraic fermion bosonization
type: Item
instance of: scholarly article
title: Algebraic fermion bosonization
zbMATH Open document ID: 0769.47023
DOI: 10.1007/BF00420514
published in: Letters in Mathematical Physics
publication date: 1993-04-20T00:00:00Z
review text: The authors provide an algebraic fermion bosonization procedure including two steps. First of all they construct anticommuting fields out of infrared extended Bose fields in the framework of canonical extensions of C.C.R. algebras and of their non regular representations. Then, in a second step, they construct local Fermi fields as ultrastrong limits of bosonic variables in all representations which are locally Fock with respect to the ground state representation of the massless scalar field, so that, in particular, the algebraic operations commute with such limits. Recall that such a procedure was usually performed by strong limits on a dense set of states of specific bosonic models.
Mathematics Subject Classification ID: 47N55
Mathematics Subject Classification ID: 81T05
Mathematics Subject Classification ID: 81T40
zbMATH DE Number: 109506
zbMATH Keywords: algebraic fermion bosonization procedure
zbMATH Keywords: anticommuting fields out of infrared extended Bose fields
zbMATH Keywords: canonical extensions of C.C.R. algebras
zbMATH Keywords: regular representations
zbMATH Keywords: local Fermi fields
zbMATH Keywords: ultrastrong limits of bosonic variables
zbMATH Keywords: representations which are locally Fock with respect to the ground state representation of the massless scalar field
zbMATH Keywords: strong limits on a dense set of states of specific bosonic models
author: Fabio Acerbi
author: G. Morchio
author: Franco Strocchi
reviewed by: G. Loupias
MaRDI profile type: Publication
cites work: On fermionic gauge groups, current algebras and Kac-Moody algebras
full work available at URL: https://doi.org/10.1007/bf00420514
OpenAlex ID: W2029671909
Recommended article: Algebraic bosonisation: the case of the Dirac fermion
Recommended article: Algebraic Bosonization: The Study of the Heisenberg and Calogero–Sutherland Models
Recommended article: Generalized fermion algebra
Recommended article: Lie algebra fermions
Recommended article: Boson fermion realizations for the super-rotation algebra
Recommended article: CLASSICAL AND QUANTUM FERMIONS LINKED BY AN ALGEBRAIC DEFORMATION
Recommended article: Q4486774
Recommended article: Bosonization techniques on algebraic curves and conformal field theories
Recommended article: Bosonic realization of algebras in the Calogero model
Recommended article: Boson-fermion correspondence from factorization spaces
description: scientific article; zbMATH DE number 109506