A two-parameter matrix Riccati equation pair for a class of nonlinear sigma models based on a symmetric space

DOI10.1063/1.525933zbMath0524.58019OpenAlexW2006550342MaRDI QIDQ3036336

M. A. Snyder

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525933

zbMATH Keywords

inverse scattering methodchiral modelslocal conservation lawsYang-Mills gauge theorieslocal invariance group

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Constructive quantum field theory (81T08) Differential geometry of symmetric spaces (53C35) Geometric quantization (53D50)

Cites Work

• A theory of the fundamental interactions
• Complex and quaternionic analyticity in chiral and gauge theories. I
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Nonlinear-Evolution Equations of Physical Significance
• Particle states of a quantized meson field
• Geometric theory of local and non-local conservation laws for the sine-Gordon equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion

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