On application of the Hamilton formalism in fibred manifolds to field theory

DOI10.1016/0926-2245(93)90003-JzbMath0789.58041WikidataQ115362728 ScholiaQ115362728MaRDI QIDQ688453

Juan-Miguel Gracia

Publication date: 16 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian formalismYang-Mills theorygauge theorygravitationconnectionssymmetry breakinganalytic mechanics

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Symmetry breaking in quantum theory (81R40) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Hamiltonian time-dependent mechanics, Multimomentum Hamiltonian formalism in quantum field theory, Constraint field systems in multimomentum canonical variables, Stress-energy-momentum tensors in constraint field theories, Geometry of multisymplectic Hamiltonian first-order field theories, SYMMETRIES IN CLASSICAL FIELD THEORY, On the multimomentum bundles and the Legendre maps in field theories, Canonical structure of classical field theory in the polymomentum phase space

Cites Work

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• The multimomentum Hamiltonian formalism in gauge theory
• A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
• On the geometric structure of gauge theories
• Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds