Introduction to Algebraic Quantum Field Theory
Introduction to Algebraic Quantum Field Theory by S. S. Horuzhy
English | PDF | 1990 | 310 Pages | ISBN : 9027727228 | 47.8 MB
The algebraic approach to quantum field theory is now about thirty years old if we assume the report by R. Haag in 1957 Colloque de Lille to be its birth. It was in this report that the concept of algebra of local observables fIrst appeared. In 1961-2 the new approach was given its fIrst systematic exposition in the ZUrich lectures by H. Araki and since then it has become firmly established as one of the axiomatic approaches to quantum field theory, alongside the field axiomatics by Wightman and S-matrix axiomatics by Bogoliubov. The common aim of all these approaches was a rigorous analysis of the structure of relativistic quantum systems without referring to any approximations or model assumptions. The algebraic appn?ach advanced the locality principle as the basis for such an analysis along with the notion of a local observable, i.e. an arbitrary physical quantity which can be measured in some fInite region of space- time. Accordingly, it became known as local quantum theory.
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