Non-Linear Equations in Classical and Quantum Field Theory
Proceedings of a Seminar Series held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, Between October 1983 and October 1984
A new class of unitarizable highest weight representations of infinite dimensional Lie algebras.- Formal integrability of systems of partial differential equations.- Quantum integrability and classical integrability.- Bäcklund transformations for nonlinear field equations.- Spectral transform approach to Bäcklund transformations.- Gauge coupling of non-linear ?-model and a generalized Mazur identity.- Magnetic monopoles.- Multimonopoles and the Riemann-Hilbert problem.- Classical solutions of Yang-Mills fields (selected topics).- Stationary solutions of the Einstein-Maxwell equations.- Non linear sigma models: A geometrical approach in quantum field theory.- An approach towards the quantization of the relativistic closed string based upon symmetries.- Yang-Baxter charge algebras in integrable classical and quantum field theorie.- The quantum Toda chain.- On soluble cases of staggered ice-rule on a square lattice.- Fields on a random lattice II random surfaces : A search for a discrete model.- Products of random matrices and one dimensional disordered systems.- Exact disorder solutions.- The Coulomb gas systems : Some rigorous results.- Instanton contribution to the CP1-model with periodic boundary conditions.- Stochastic quantization and gravity.- Feynman's checkerboard and other games.
