Local Quantum Physics: Fields, Particles, Algebras

Front Matter....Pages I-XIV
Quantum Mechanics....Pages 1-9
The Principle of Locality in Classical Physics and the Relativity Theories....Pages 9-27
Poincaré Invariant Quantum Theory....Pages 27-40
Action Principle....Pages 40-44
Basic Quantum Field Theory....Pages 44-53
Mathematical Considerations and General Postulates....Pages 55-60
Hierarchies of Functions....Pages 60-75
Physical Interpretation in Terms of Particles....Pages 75-83
General Collision Theory....Pages 83-95
Some Consequences of the Postulates....Pages 96-104
Review of the Perspective....Pages 105-112
Von Neumann Algebras. C*-Algebras. W*-Algebras....Pages 112-129
The Net of Algebras of Observables....Pages 129-143
The Vacuum Sector....Pages 143-147
Charge Superselection Sectors....Pages 149-156
The DHR-Analysis....Pages 156-174
The Buchholz-Fredenhagen (BF)-Analysis....Pages 174-184
Global Gauge Group and Charge Carrying Fields....Pages 184-192
Low Dimensional Space-Time and Braid Group Statistics....Pages 192-197
Gibbs Ensembles, Thermodynamic Limit, KMS-Condition....Pages 199-216
Modular Automorphisms and Modular Conjugation....Pages 216-226
Direct Characterization of Equilibrium States....Pages 226-244
Modular Automorphisms of Local Algebras....Pages 244-253
Phase Space, Nuclearity, Split Property, Local Equilibrium....Pages 253-266
The Universal Type of Local Algebras....Pages 267-269
Detectors, Coincidence Arrangements, Cross Sections....Pages 271-278
The Particle Content....Pages 279-289
The Physical State Space of Quantum Electrodynamics....Pages 289-295
Algebraic Approach vs. Euclidean Quantum Field Theory....Pages 297-300
Supersymmetry....Pages 300-303
The Challenge from General Relativity....Pages 303-318
Back Matter....Pages 319-356