Local aspects of superselection rules. II

DOI10.1007/BF01213216zbMath0523.46046MaRDI QIDQ584689

Sergio Doplicher, Roberto Longo

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

currentsgauge groupsplit propertychargeactions of groups by endomorphismscovariant representations of the global gauge Lie algebracurrent algebra structure of particle physicslocal quantum theorylocalizable chargessuperselection quantum numbers

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

Related Items (29)

QUANTUM NOETHER'S THEOREM AND CONFORMAL FIELD THEORY: A STUDY OF SOME MODELS ⋮ On Noether's theorem in quantum field theory ⋮ Local state and sector theory in local quantum physics ⋮ On the local implementations of gauge symmetries in local quantum theory ⋮ On the intrinsic definition of local observables ⋮ Classification of subsystems for graded-local nets with trivial superselection structure ⋮ Convergence of local charges and continuity properties of \(W^*\)- inclusions ⋮ The split property for quantum field theories in flat and curved spacetimes ⋮ Braided categories of endomorphisms as invariants for local quantum field theories ⋮ The measurement process in local quantum physics and the EPR paradox ⋮ Generalized symmetries and Noether's theorem in QFT ⋮ The role of positivity and causality in interactions involving higher spin ⋮ The split property for locally covariant quantum field theories in curved spacetime ⋮ Spin and statistics and first principles ⋮ Subsystems and independence in relativistic microscopic physics ⋮ FROM GLOBAL SYMMETRIES TO LOCAL CURRENTS: THE FREE (SCALAR) CASE IN FOUR DIMENSIONS ⋮ Charges in spacelike cones ⋮ Split property for free massless finite helicity fields ⋮ Quantum inequalities from operator product expansions ⋮ The principle of locality: Effectiveness, fate, and challenges ⋮ Symmetries in quantum field theory and quantum gravity ⋮ Causal independence and the energy-level density of states in local quantum field theory ⋮ ANY COMPACT GROUP IS A GAUGE GROUP ⋮ Entropic order parameters for the phases of QFT ⋮ An Introduction to Algebraic Quantum Field Theory ⋮ Reflected entropy, symmetries and free fermions ⋮ Standard and split inclusions of von Neumann algebras ⋮ On the modular structure of local algebras of observables ⋮ Superposition, transition probabilities and primitive observables in infinite quantum systems

Cites Work

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• Analytic vectors
• Standard and split inclusions of von Neumann algebras
• Local aspects of superselection rules
• Locality and the structure of particle states
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Product states for local algebras
• Nets of \(C^*\)-algebras and classification of states
• Tomita's theory of modular Hilbert algebras and its applications
• Group U(6)⊗U(6) Generated by Current Components

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