Representations of the current algebra of a charged massless Dirac field

DOI10.1063/1.526665zbMath0574.46052OpenAlexW2013658531MaRDI QIDQ3694084

Romuald Borek

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526665

zbMATH Keywords

von Neumann algebracovariant representationsCAR algebraAFD factorsspectrum condition\(C^*\)-algebra of quasilocal observables of local quantum theorycovariant under the space-time translation groupcurrent algebra of a charged massless Dirac fieldinfinite tensor products of Fock representationspresence of a vacuum statequasilocal algebra of a free massless Majorana field

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Classifications of (C^*)-algebras (46L35) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Locality and the structure of particle states
• Type I \(C^ *\)-algebras
• Free states of the canonical anticommutation relations
• On rings of operators. III
• Some covariant representations of massless Fermi fields