Existence of gauge field in any partially integrable systems

DOI10.1063/1.529634zbMath0760.58037OpenAlexW2007110406MaRDI QIDQ4027886

Susumu Okubo

Publication date: 9 March 1993

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

Full work available at URL: https://doi.org/10.1063/1.529634

zbMATH Keywords

zero curvatureYang-Mills gauge fieldpartially integrable systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of dynamical systems (37N99)

Related Items (1)

Hamiltonian formulation of the teleparallel description of general relativity

Cites Work

• Implementing the Bogolubov-Valatin transformations on a Hilbert bundle
• Relativity groups in the presence of matter
• Lie groups and KdV equations
• A simple Lagrangian for integrable systems
• Curvature form and solutions of nonlinear models
• Nijenhuis–Bianchi identity and BRST-like operators
• Continuous integrable systems with multi-Poisson brackets
• Periodic solutions of the KdV equation
• Integrable dynamical systems with hierarchy. II. Solutions
• Integrability condition and finite-periodic Toda lattice

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