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

DOI10.1016/0034-4877(79)90038-7zbMath0429.58002OpenAlexW2028148309MaRDI QIDQ1137802

S. H. Smith

Publication date: 1979

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(79)90038-7

zbMATH Keywords

infinitesimal gauge transformationsdifferential spacedirections of degenerationfinite-dimensional approach to the classical field theoryparasymplectic structurestructural n+1 form for the Yang-Mills field theorysymplectic structure and Poisson brackets on the space of initial conditions

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geometric quantization (53D50) Differential spaces (58A40) Hamiltonian and Lagrangian mechanics (70Hxx)

Related Items (5)

Geometrization of the classical field theory and its application in Yang- Mills field theory ⋮ Classical field theory and analogy between Newton's and Maxwell's equations. ⋮ A Hamiltonian structure of the interacting gravitational and matter fields ⋮ The dynamical structure of the Einstein-Cartan-Sciama-Kibble theory of gravity ⋮ The Cauchy data space formulation of classical field theory

Cites Work

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