A Unified Scheme for Generalized Sectors Based on Selection Criteria: Order Parameters of Symmetries and of Thermality and Physical Meanings of Adjunctions

DOI10.1023/A:1025175907589zbMath1028.81037arXivmath-ph/0303009MaRDI QIDQ4424074

Publication date: 9 September 2003

Published in: Open Systems & Information Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0303009

zbMATH Keywords

field algebra relativistic quantum fields measurement processes Doplicher-Roberts construction equilibrium and nonequilibrium states Goldstone modes and condensates unbroken and spontaneously broken internal symmetries vacuum situations

Mathematics Subject Classification ID

Unified quantum theories (81V22) Supersymmetric field theories in quantum mechanics (81T60) Symmetry breaking in quantum theory (81R40) Axiomatic quantum field theory; operator algebras (81T05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (9)

Large Deviation Strategy for Inverse Problem I ⋮ Large Deviation Strategy for Inverse Problem II ⋮ Local state and sector theory in local quantum physics ⋮ Derivation of Born Rule from Algebraic and Statistical Axioms ⋮ The quantum relative entropy as a rate function and information criteria ⋮ Photon localization revisited ⋮ Explaining quantum spontaneous symmetry breaking ⋮ A Unified Scheme of Measurement and Amplification Processes Based on Micro-Macro Duality — Stern-Gerlach Experiment as a Typical Example ⋮ UNIVERSAL ALGEBRA OF SECTORS

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