Local rings and the connection of spin with statistics

DOI10.1007/BF01645905zbMath0138.45202OpenAlexW2030626284MaRDI QIDQ2522094

Hans-Jürgen Borchers

Publication date: 1965

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

Full work available at URL: https://doi.org/10.1007/bf01645905

zbMATH Keywords

quantum theory

Related Items (33)

Local Operator Algebras in the Presence of Superselection Rules ⋮ CTP Invariance of the S-Matrix in a Theory of Local Observables ⋮ Algebras of unbounded operators in quantum field theory ⋮ Construction of field algebras with quantum symmetry from local observables ⋮ An algebraic spin and statistics theorem ⋮ On the Translation Invariance of Local Internal Symmetries ⋮ Superselection sectors and general covariance. I ⋮ Braided categories of endomorphisms as invariants for local quantum field theories ⋮ Modular nuclearity: a generally covariant perspective ⋮ Locality and the structure of particle states ⋮ On the relation between types of local algebras in different global representations ⋮ The CPT-theorem in two-dimensional theories of local observables ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ Level 1 WZW superselection sectors ⋮ Relativistic invariance and charge conjugation in quantum field theory ⋮ Superselection sectors in low dimensional quantum field theory ⋮ Charges in spacelike cones ⋮ Local cohomology and superselection structure ⋮ Geometrical meaning of braid statistics in \((1+1)\)- and \((2+1)\)- dimensional quantum field theory ⋮ Covariance algebras in field theory and statistical mechanics ⋮ A remark on a theorem of B. Misra ⋮ The energy momentum spectrum of quantum fields ⋮ Local fields with the wrong connection between spin and statistics ⋮ Fields, observables and gauge transformations. I ⋮ Canonical quantization ⋮ Topological spin-statistics relation in quantum field theory ⋮ Fields, observables and gauge transformations. II ⋮ On parastatistics ⋮ Superselection sectors with braid group statistics and exchange algebras ⋮ Localization in algebraic field theory ⋮ Axioms of algebra of observables and the field concept ⋮ The energy-momentum spectrum in local field theories with broken Lorentz- symmetry ⋮ Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics

Cites Work

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• On the vacuum state in quantum field theory. II
• Integral-Darstellung kausaler Kommutatoren
• Integral Representations of Causal Commutators
• On the Connection of Spin and Commutation Relations between Different Fields
• The Connection Between Spin and Statistics
• A Generalized Method of Field Quantization

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