A Hamiltonian analysis of Yang-Mills equations

DOI10.1016/S0034-4877(99)80162-1zbMath0954.53046OpenAlexW2137363982MaRDI QIDQ1573831

Jędrzej Śniatycki

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(99)80162-1

zbMATH Keywords

reduced phase spacegauge groupMinkowski spacetimeHamiltonian actionYang-Mills equations

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Symplectic structures of moduli spaces (53D30) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

Singular symplectic cotangent bundle reduction of gauge field theory ⋮ Quantization of scalar fields coupled to point masses

Cites Work

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• The Cauchy problem for the Yang-Mills equations
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge
• Symmetry and bifurcations of momentum mappings
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
• The manifold structure of maps between open manifolds
• Yang-Mills and Dirac fields with inhomogeneous boundary conditions
• Yang-Mills and Dirac fields in a bag, existence and uniqueness theorems
• Finite energy solutions of the Yang-Mills equations in \(\mathbb{R}^{3+1}\)
• Yang-Mills and Dirac fields in a bag, constraints and reduction
• Non-linear semi-groups
• Gribov degeneracies: Coulomb gauge conditions and initial value constraints

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