Spinor currents as vector particles
type: Item
instance of: scholarly article
title: Spinor currents as vector particles
zbMATH Open document ID: 0912.53060
author: David A. jun. Vogan
author: Zhengfang Zhou
author: Irving E. Segal
published in: Journal of Functional Analysis
publication date: 1999-05-25T00:00:00Z
review text: This is a continuation of a previous paper by the first author [\textit{I. Segal}, J. Funct. Anal. 154, 542-558 (1998; Zbl 0912.53059), see the preceding review], in which a prototype for the problem of determining the irreducible factors of the spaces spanned by currents between homogeneous vector bundles are studied. When the conformal group \({\mathbf G}= SU(2,2)\) of a Minkowskian spacetime \({\mathbf M}\) is chosen, it is shown that the positive-energy unitary \({\mathbf G}\)-irreducible massive factors of the one-form bundle over the conformal compactification of \({\mathbf M}\) are bundle-equivalent to spaces spanned by currents of the spinor bundle. These notions are examined for the representations of the \(Z\), \(W^+\), and \(W^-\) particles, and are consistent with the possibility that all quasi-stable elementary particles may be modeled by suitable subspaces of bundle products. Contents include: an introduction; technical preliminaries; and spinor currents.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81V10
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 81V15
Mathematics Subject Classification ID: 81R25
zbMATH DE Number: 1213994
zbMATH Keywords: currents between homogeneous vector bundles
zbMATH Keywords: massive factors
zbMATH Keywords: conformal compactification
zbMATH Keywords: spinor bundle
zbMATH Keywords: elementary particles
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: jfan.1997.3234
OpenAlex ID: W2062692859
Wikidata QID: Q104187776
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DOI: 10.1006/JFAN.1997.3234
description: scientific article; zbMATH DE number 1213994