Hellmut Baumgartel, "Operator Algebraic Methods in Quantum Field Theory: A Series of Lectures"
1995 | ISBN-10: 3055016556 | 228 pages | PDF | 14 MB

In the course of lectures, held from summer 1993 up to summer 1994 at the Humbolt University of Berlin (SS 93), the Technical University of Berlin (WS 93/94) and the University of Potsdam (SS 94) the author presents basic operatoralgebraic material which is necessary to establish basic concepts of the algebraic quantum field theory as well as to get essential results in this field. The original ansatz of R. Haag (and others) started with the "working hypothesis" of a net of algebras of local observables. The aim of the lectures is to show that the success of this ansatz is strongly connected with deep results in the theory of operator algebras. The emphasis is to make the material presented clear and readable without missing depth. The hope is to convince the reader of the beauty and stringency of this theory.