Mathematical Theory of Quantum Fields

Quantum field theory is an area of wide and growing interest to students and researchers of both mathematics and physics. This is an authoritative and self- contained introduction to the subject, which uses the mathematical theory of operator algebras to present the theory.

The self-contained monograph provides an introduction to the basic properties of quantum fields suitable for mathematics graduates.

Autorentext
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

Klappentext
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.

Inhalt
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

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