Mathematical Theory of Quantum Fields

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Huzihiro Araki (Department of Mathematics, Faculty of Science and Technology, Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo) Ursula Carow-Watamura (Department of Physics, Faculty of Science, Department of Physics, Faculty of Science, Tohoku University, Japan)

Mathematical Theory of Quantum Fields

Huzihiro Araki (Department of Mathematics, Faculty of Science and Technology, Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo), Ursula Carow-Watamura (Department of Physics, Faculty of Science, Department of Physics, Faculty of Science, Tohoku University, Japan)

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English

Oxford University Press
01 May 2009

Mathematics & Sciences; Algebra; Quantum physics (quantum mechanics & quantum field theory); Mathematical physics

Series: International Series of Monographs on Physics

This is an introduction to the mathematical foundations of quantum field theory, using operator algebraic methods and emphasizing the link between the mathematical formulations and related physical concepts. It starts with a general probabilistic description of physics, which encompasses both classical and quantum physics. The basic key physical notions are clarified at this point. It then introduces operator algebraic methods for quantum theory, and goes on to discuss the theory of special relativity, scattering theory, and sector theory in this context.

By: Huzihiro Araki (Department of Mathematics Faculty of Science and Technology Department of Mathematics Faculty of Science and Technology Science University of Tokyo)
Translated by: Ursula Carow-Watamura (Department of Physics Faculty of Science Department of Physics Faculty of Science Tohoku University Japan)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Volume: 101
Dimensions: Height: 233mm, Width: 155mm, Spine: 15mm
Weight: 401g
ISBN: 9780199566402
ISBN 10: 0199566402
Series: International Series of Monographs on Physics
Pages: 250
Publication Date: 01 May 2009
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

States and observables Quantum theory The relativistic symmetry Local observables Scattering theory Sector theory Appendix A: Hilbert space and operators Appendix B: Operator algebras Appendix C: Free fields

Professor Huzihiro Araki, Department of Mathematics, Faculty of Science and Technology, Science University of Tokyo, 2641 Yamazaki, Nuda-city, Chiba-kem 278, JAPAN. Tel: +81 471 24 1501; fax: +81 471 23 9762; email: araki@ma.noda.sut.ac.jp

Reviews for Mathematical Theory of Quantum Fields

This slender little volume of a little over 200 pages is a miracle ... a remarkable achievement of concision and clarity. It is a lovely introduction to algebraic quantum theory. Even workers in the field can read it with profit. --Mathematical Reviews