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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.

Contributor(s): Sanchez, N. (Norma), 1952-Material type: TextTextSeries: Lecture notes in physics ; 226.Publication details: Berlin ; New York : Springer-Verlag, ©1985. Description: 1 online resource (vii, 400 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540393528; 3540393528Subject(s): Differential equations, Nonlinear -- Congresses | Mathematical physics -- Congresses | Quantum field theory -- Congresses | Statistical mechanics -- Congresses | Équations différentielles non linéaires -- Congrès | Physique mathématique -- Congrès | Théorie quantique des champs -- Congrès | Mécanique statistique -- Congrès | Differential equations, Nonlinear | Mathematical physics | Quantum field theory | Statistical mechanics | Niet-lineaire vergelijkingen | KwantumveldentheorieGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Non-linear equations in classical and quantum field theory.DDC classification: 530.1/55355 LOC classification: QC20.7.D5 | N65 1985Other classification: 33.51 Online resources: Click here to access online
Contents:
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.
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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.

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