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.

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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 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.