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Operatoralgebraic Methods in Quantum Field Theory: A Series of Lectures |
| Hellmut Baumgärtel |
| In the course of lectures, held from summer 1993 up to summer 1994 at the Humboldt 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. Some characteristic mutual relations are described. Key words are "Vacuum representations on the four-dimensional Minkowski space and on the unit sphere, DHR-superselection theory, field algebra", and others. 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. While the first part of the book describes vacuum representations on the four-dimensional Minkowski space, the second part deals with the so-called DHR-superselection theory, firstly for the automorphism case and secondly for the general case. The constructions of the field algebra and the symmetry group are included. Finally, vacuum representations on the unit sphere S1 are discussed.
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| Cloth Bound |
228 Pages, |
Item #: Price: |
3527400516 $87.75 |
John Wiley & Sons, Inc. | |
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