Yang-Mills and Dirac fields in a bag, constraints and reduction

Sniatycki, Jedrzej ; Schwarz, Günter ; Bates, Larry

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URL: https://ub-madoc.bib.uni-mannheim.de/1655
URN: urn:nbn:de:bsz:180-madoc-16556
Document Type: Working paper
Year of publication: 1994
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Subject headings (SWD): Dirac-Gleichung , Yang-Mills-Theorie , Theorie der Sachzwänge
Abstract: The structure of the constraint set in the Yang-Mills-Dirac theory in a contractible bounded domain is analysed under the bag boudary conditions. The gauge symmetry group is identified, and it is proved that its action on the phase space is proper and admits slices. The reduced phase space is shown to be the union of symplectic manifolds, each of which corresponds to a definite mode of symmetry breaking.
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Das Dokument wird vom Publikationsserver der Universitätsbibliothek Mannheim bereitgestellt.

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