Titre du document

Geometrization of the classical field theory and its application in Yang-Mills field theory

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Nom du Corpus

AstroConcepts

Auteur(s)
  • W. Kondracki
Affiliation(s)
  • Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
Résumé

The paper contains presentation of the finite-dimensional approach to the classical field theory based on the geometry of differential manifolds and forms. Geometrical construction of a symplectic structure and Poisson brackets on the space of initial conditions are realized. This space is not a manifold but it can be furnished with a structure of a differential space. The structural n+1 form for the Yang-Mills field theory is constructed. This gives automatically equations of motion and equations for initial conditions. The parasymplectic structure is computed. The directions of degeneration appear to be exactly the directions of infinitesimal gauge transformations. The Poisson bracket for Yang-Mills field theory is obtained.

Langue(s) du document
Anglais
Année de publication
1979
Revue

Reports on Mathematical Physics

Éditeur
Elsevier
Type de publication
journal
Type de document
research-article
Présence de XML structuré
Non
Version de PDF
1.2
Score de qualité du texte
8.296
Nom du concept
  • Kaluza-Klein theory
Catégories Science-Metrix
  • 1 - natural sciences ; 2 - physics & astronomy ; 3 - mathematical physics
Catégories Inist
  • 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - terre, ocean, espace ; 4 - geophysique externe
Catégories Scopus
  • 1 - Physical Sciences ; 2 - Mathematics ; 3 - Mathematical Physics
  • 1 - Physical Sciences ; 2 - Physics and Astronomy ; 3 - Statistical and Nonlinear Physics
Catégories WoS
  • 1 - science ; 2 - physics, mathematical
Identifiant ISTEX
8C2C45D815BFE02C27D003C6217C722ACD063A73
ark:/67375/6H6-9H6HR8DV-H
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