Local Quantum Physics

I. Background.- 1. Quantum Mechanics.- 2. The Principle of Locality in Classical Physics and the Relativity Theories.- 3. Poincaré Invariant Quantum Theory.- 4. Action Principle.- 5. Basic Quantum Field Theory.- II. General Quantum Field Theory.- 1. Mathematical Considerations and General Postulates.- 3. Physical Interpretation in Terms of Particles.- 4. General Collision Theory.- 5. Some Consequences of the Postulates.- III. Algebras of Local Observables and Fields.- 1. Review of the Perspective.- 2. Von Neumann Algebras. C*-Algebras. W*-Algebras.- 3. The Net of Algebras of Local Observables.- 4. The Vacuum Sector.- IV. Charges, Global Gauge Groups and Exchange Symmetry.- 1. Charge Superselection Sectors.- 2. The DHR-Analysis.- 3. The Buchholz-Fredenhagen-Analysis.- 4. Global Gauge Group and Charge Carrying Fields.- 5. Low Dimensional Space-Time and Braid Group Statistics.- V. Thermal States and Modular Automorphisms.- 1. Gibbs Ensembles, Thermodynamic Limit, KMS-Condition.- 2. Modular Automorphisms and Modular Conjugation.- 3. Direct Characterization of Equilibrium States.- 4. Modular Automorphisms of Local Algebras.- 5. Phase Space, Nuclearity, Split Property, Local Equilibrium.- 6. The Universal Type of Local Algebras.- VI. Particles. Completeness of the Particle Picture.- 1. Detectors, Coincidence Arrangements, Cross Sections.- 2. The Particle Content.- 3. The Physical State Space of Quantum Electrodynamics.- VII. Principles and Lessons of Quantum Physics. A Review of Interpretations, Mathematical Formalism and Perspectives.- 1. The Copenhagen Spirit. Criticisms, Elaborations.- 2. The Mathematical Formalism.- 3. The Evolutionary Picture.- VIII. Retrospective and Outlook.- 1. Algebraic Approach vs. Euclidean Quantum Field Theory.- 2. Supersymmetry.- 3. TheChallenge from General Relativity.- Author Index and References.

"Indeed, both the expert in the field and the novice will enjoy Haags insightful exposition... This (superb) book is bound to occupy a place on a par with other classics in the mathematical physics literature." Physics Today "...enjoyable reading to anybody interested in the development of fundamental physical theories." Zentralblatt f. Mathematik