Introduction to algebraic and constructive quantum field theory / John C. Baez, Irving E. Segal, Zhengfang Zhou

Auteur principal : Baez, John Carlos, 1961-, AuteurCo-auteur : Segal, Irving Ezra, 1918-1998, Auteur • Zhou, Zhengfang, 1959-, AuteurType de document : Livre numériqueCollection : Princeton series in physicsLangue : anglais.Éditeur : Princeton University Press, Princeton, 1992ISBN: 9780691605128.ISSN: 1052-8083.Sujet MSC : 46N50, Miscellaneous applications of functional analysis, Applications in quantum physics
46L60, Functional analysis, Applications of selfadjoint operator algebras to physics
81T05, Quantum theory, Axiomatic quantum field theory; operator algebras
81T08, Quantum theory, Constructive quantum field theory
En-ligne : sur le site de l'auteur
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Much of the quantum field theory is of a very general character independent of the nature of space-time. Thus a universal formalism applies whether or not there exists an underlying space in the usual geometrical sense. This book deals with this universal part of quantum field theory which depends only on the underlying complex Hilbert space. The main topics are: — The universal free boson field. — The universal fermion field along parallel lines. — General properties of universal fields. — Absolute continuity of distributions in function spaces, unitary implementability. — C * -algebras associated with the underlying symplectic or orthogonal structures. — Quantization of wave equations. — Renormalized local products of boson fields. — Nonlinear scalar field in two space-time dimensions, methods of constructive quantum field theory. (Zentralblatt)

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