Introduction to Algebraic Quantum Field Theory

Inhaltsverzeichnis

• 1. Axiomatic Formalism.
• 1.1. Introduction. The Algebraic Approach as a Local Quantum Theory.
• 1.2. Axioms of the Algebraic Approach.
• 1.3. Structure of the Local Quantum Theory: Theorems Derived from the Axioms.
• 2. From the Theory of Observables to the Theory of Quantum Fields.
• 2.1. Global Theory of Superselection Rules.
• 2.2. Local Theory of Superselection Rules: Equivalence Properties of Coherent Sectors.
• 2.3. Program for Producing Field Theory by Means of Reconstructing its Charge Sectors.
• 3. Field Algebras and their Applications.
• 3.1. Op*-Algebras of Field Operators and Vacuum Superselection Rules.
• 3.2. Construction and Properties of Von Neumann Field Algebras.
• 3.3. Free and Generalized Free Fields.
• Appendix. Problems of Constructing Algebraic Gauge Quantum Field Theory.
• References.