Complex Analysis, Microlocal Calculus and Relativistic Quantum Theory

Proceedings of the Colloquium Held at Les Houches, Centre de Physique September 1979

516 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

Essential support theory and u=0 theorems.- The theory of holonomic systems with regular singularities and its relevance to physical problems.- Second-microlocalization and asymptotic expansions.- Deuxieme microlocalisation.- Sur le problème de Hilbert-Riemann.- Conditions de positivité dans une variété symplectique complexe . Applications à l'étude des microfonctions.- Fuchsian systems of linear differential equations associated to Nilsson class functions and an application to Feynman integrals.- Singularites des solutions des equations aux derivees partielles non linearies.- Comportement semi classique du spectre d'un hamiltonien quantique.- Rational and Padé approximations to solutions of linear differential equations and the monodromy theory.- METHODE DE LA PHASE STATIONNAIRE ET SOMMATION DE BOREL.- Les series ? - sommables et leurs applications.- Reflection of analytic singularities.- Les operateurs metadifferentiels.- Asymptotic behaviour of Feynman integrals.- Integral relations in complex space and the global analytic and monodromic structure of Green's functions in quantum field theory: Some general ideas and recent results.- Microcausality, macrocasuality and the physical region (micro)analytic S-matrix.- Analytic 2-particle structure and crossing constraints.- On the scattering matrix with indefinite metric.- On the representation of the local current algebra.- S matrix theory of the massive thirring model.- Field theories in 1+1-dimensions with soliton behaviour: Form factors and Green's functions.- One and multidimensional completely integrable systems arising from the isospectral deformation.- Quantization of exactly integrable field theoretic models.- Aspects of Holonomic quantum fields.- Recent results for the planar Ising model.

• Reihe: Lecture Notes in Physics
• Themen: Mathematik und Naturwissenschaften Physik Quantenphysik (Quantenmechanik und Quantenfeldtheorie)
• ISBN: 9783540099963
• Sprache: Englisch
• Erscheinungsdatum: 01.05.1980
• Größe: 244 x 170 mm
• Verlag: Springer
• Herausgegeben von: D. Iagolnitzer