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
著者
書誌事項
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
(Lecture notes in physics, 226)
Springer-Verlag, 1985
- : gw
- : us
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内容説明・目次
目次
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.- Backlund transformations for nonlinear field equations.- Spectral transform approach to Backlund 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.
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