An invariance argument for confinement
type: Item
instance of: scholarly article
title: An invariance argument for confinement
zbMATH Open document ID: 0831.58056
DOI: 10.1016/0034-4877(94)90004-3
author: Günter Schwartz
author: J. Śniatycki
published in: Reports on Mathematical Physics
publication date: 1996-02-13T00:00:00Z
review text: This paper develops an approach to the problem of cofinement in quantum chromodynamics based on non-abelian gauge invariance and the locality axiom of quantum field theory. This approach is based on knowledge of the structure of the classical field theory together with an understanding of the process of quantization. A quantum field theory is said to be confining if it does not allow for a description of the spatial separation of charges. The authors show that for Yang-Mills-Dirac fields in Minkowski space, gauge-invariant charge densities depend non-locally on the field variables and have non-local Poisson brackets unless the color label belongs to the center of the color algebra. For Yang-Mills-Dirac fields in a bounded domain, the color algebra is trivial and the color changes vanish identically. Thus, the Yang-Mills-Dirac theory can be considered confining on the basis of purely mathematical arguments.
Mathematics Subject Classification ID: 58Z05
Mathematics Subject Classification ID: 81V05
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81S10
Mathematics Subject Classification ID: 37C80
zbMATH DE Number: 794410
zbMATH Keywords: color algebra
zbMATH Keywords: Yang-Mills-Dirac fields
zbMATH Keywords: gauge invariance
zbMATH Keywords: locality
zbMATH Keywords: quantization
zbMATH Keywords: quantum chromodynamics
reviewed by: William J. Satzer Jr.
MaRDI profile type: Publication
full work available at URL: 0034-4877(94)90004-3
OpenAlex ID: W2168562558
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description: scientific article; zbMATH DE number 794410