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

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

edited by N. Sanchez

(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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