Mathematical Theory of Quantum Fields

Paperback | June 5, 2009

byHUZIHIRO ARAKI

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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 bothclassical 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.

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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 bothclassical and quantum physics. The basic key...

Huzihiro Araki is Professor in the Department of Mathematics at The Science University of Tokyo.

other books by HUZIHIRO ARAKI

Format:PaperbackDimensions:256 pages, 9.21 × 6.14 × 0.01 inPublished:June 5, 2009Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199566402

ISBN - 13:9780199566402

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Table of Contents

States and observablesQuantum theoryThe relativistic symmetryLocal observablesScattering theorySector theoryAppendix A: Hilbert space and operatorsAppendix B: Operator algebrasAppendix C: Free fields

Editorial Reviews

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