Boson free fields as a limit of fields of a more general type
type: Item
instance of: scholarly article
title: Boson free fields as a limit of fields of a more general type
zbMATH Open document ID: 0619.46059
DOI: 10.1016/0034-4877(85)90041-2
author: Jan Dereziński
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: A \(W^*\)-algebra with a group of automorphisms, an invariant state and a space of some selected self-adjoint elements are defined. By means of an averaging over the space, that consists in changing the scale of the group and a kind of renormalization of amplitude, a special class of operators that behaves like boson fields in the large scale limit is obtained. As an example it is shown that products of two fermion field operators can behave asymptotically like boson fields.
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 81T17
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 4004950
zbMATH Keywords: W\({}^ *\)-algebra with a group of automorphisms
zbMATH Keywords: invariant state
zbMATH Keywords: renormalization of amplitude
zbMATH Keywords: boson fields
zbMATH Keywords: large scale limit
zbMATH Keywords: fermion field operators
reviewed by: Oliviu Gherman
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90041-2
OpenAlex ID: W2077727598
cites work: Markovian master equations
cites work: Q3913911
cites work: Q5653193
description: scientific article; zbMATH DE number 4004950