On Noether's theorem in quantum field theory
type: Item
instance of: scholarly article
title: On Noether's theorem in quantum field theory
zbMATH Open document ID: 0609.46037
DOI: 10.1016/0003-4916(86)90086-2
author: Detlev Buchholz
author: Sergio Doplicher
author: Roberto Longo
published in: Annals of Physics
publication date: 1986-01-01T00:00:00Z
review text: Extending the construction of local generators of symmetries in [the second author, Commun. Math. Phys. 85, 73-86 (1982; Zbl 0515.46065) and the second and third author, Commun. Math. Phys. 88, 399-409 (1983; Zbl 0523.46046)] to space-time and supersymmetries, we establish a weak form of Noether's theorem in quantum field theory. We also comment on the physical significance of the ''split property'', underlying our analysis, and discuss some local aspects of superselection rules following from our results.
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 81T05
zbMATH DE Number: 3985938
zbMATH Keywords: construction of local generators of symmetries
zbMATH Keywords: supersymmetries
zbMATH Keywords: weak form of Noether's theorem in quantum field theory
zbMATH Keywords: split property
zbMATH Keywords: local aspects of superselection rules
MaRDI profile type: Publication
full work available at URL: 0003-4916(86)90086-2
OpenAlex ID: W2166997183
cites work: Local aspects of superselection rules
cites work: Local aspects of superselection rules. II
cites work: Quantum field theory techniques in graphical enumeration
cites work: Fields, observables and gauge transformations. I
cites work: Fields, observables and gauge transformations. II
cites work: Compact Lie groups associated with endomorphisms of 𝐶*-algebras
cites work: Locality and the structure of particle states
cites work: Product states for local algebras
cites work: Interpolation by type I factors and the flip automorphism
cites work: Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model
cites work: Theory of operator algebras I.
cites work: Causal independence and the energy-level density of states in local quantum field theory
cites work: A remark on a theorem of B. Misra
cites work: Q3664016
cites work: Charges in spacelike cones
cites work: Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre
cites work: The physical state space of quantum electrodynamics
description: scientific article; zbMATH DE number 3985938