Field theory, quantum gravity and strings : proceedings of a seminar series held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, between October 1984 and October 1985

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Field theory, quantum gravity and strings : proceedings of a seminar series held at DAPHE, Observatoire de Meudon, and LPTHE, Université Pierre et Marie Curie, Paris, between October 1984 and October 1985

edited by H.J. de Vega and N. Sánchez

(Lecture notes in physics, 246)

Springer-Verlag, c1986

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  • : us

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内容説明・目次

目次

Lectures on quantum cosmology.- Solitons and black holes in 4,5 dimensions.- Truncations in Kaluza-Klein theories.- Canonical quantization and cosmic censorship.- Quantum effects in non inertial frames and quantum covariance.- Stochastic de sitter (inflationary) stage in the early universe.- Some mathematical aspects of stochastic quantization.- Superstrings and the unification of forces and particles.- Conformally invariant field theories in two dimensions critical systems and strings.- Liouville model on the lattice.- Exact solvability of semiclassical quantum gravity in two dimensions and liouville theory.- Some features of complete integrability in supersymmetric gauge theories.- Monopoles and-reciprocity.- Non-local conservation laws for non-linear sigma models with fermions.- Inverse scattering transform in angular momentum and applications to non-local effective actions.- General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions.- Hierarchies of poisson brackets for elements of the scattering matrices.- Multidimensional inverse scattering and nonlinear equations.- An SL(3)-Symmetrical F-Gordon equation:Z?B = 1/3 (eZ?e?2Z).- The solution of the cartan equivalence problem for $$\frac{<!-- -->{d^2 y}}{<!-- -->{dx^2 }} = F(x,y,\frac{<!-- -->{dy}}{<!-- -->{dx}})$$ under the pseudo-group $$\bar x = \varphi (x),\bar y = \psi (x,y)$$ .- Quantum R matrix related to the generalized Toda system: An algebraic approach.- Solution of the multichannel Kondo-problem.- The directed animals and related problems.- Incommensurate structures and breaking of analyticity.

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