Gauge-invariant covariant Hamiltonians

DOI10.1063/1.533410zbMath0993.37028OpenAlexW2040192075MaRDI QIDQ2738114

Antonio Fernández, Jaime Muñoz Masqué, Pedro L. García

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533410

zbMATH Keywords

Lagrangian densityprincipal bundlegauge invariantfibered manifoldEhresmann connectioncovariant Hamiltonian density

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (2)

The problem of invariance for covariant Hamiltonians ⋮ Diffeomorphism-invariant covariant Hamiltonians of a linear frame and a linear connection

Cites Work

• The Hamilton-Cartan formalism in the calculus of variations
• Invariant Theoretical Interpretation of Interaction
• Multisymplectic geometry, covariant Hamiltonians, and water waves
• Hamiltonian time-dependent mechanics
• Stress-energy-momentum tensors in constraint field theories
• Covariant Hamilton equations for field theory

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