The Hamiltonian structure of Yang-Mills theories and instantons. I

DOI10.1016/0378-4371(86)90007-5zbMath0668.58015OpenAlexW4248900823MaRDI QIDQ1118221

E. A. De Kerf, Maarten Bergvelt

Publication date: 1986

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(86)90007-5

zbMATH Keywords

Hamiltonian structureYang-Mills theoriesconstrained Hamiltonian systems

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

Gauge systems: Presymplectic and group action formulations ⋮ REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY ⋮ Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints ⋮ Dynamics of constrained systems ⋮ The Hamiltonian structure of Yang-Mills theories and instantons. II ⋮ Griffiths variational multisymplectic formulation for Lovelock gravity ⋮ Dynamical symmetries in constrained systems: A Lagrangian analysis ⋮ Canonical Noether symmetries and commutativity properties for gauge systems ⋮ A first class constraint generates not a gauge transformation, but a bad physical change: The case of electromagnetism ⋮ A generalized geometric framework for constrained systems ⋮ Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories

Cites Work

• Instantons and the topology of 4-manifolds
• A new approach to the self-dual Yang-Mills equations
• Poisson brackets for Lagrangians linear in the velocity
• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• The Hamiltonian structure of Yang-Mills theories and instantons. II
• Construction of instantons
• An application of gauge theory to four dimensional topology
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• Presymplectic manifolds and the Dirac–Bergmann theory of constraints
• Foundations of Quantum Mechanics
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