Von Neumann Algebras of Local Observables for Free Scalar Field
- 1 January 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (1) , 1-13
- https://doi.org/10.1063/1.1704063
Abstract
Basic properties of von Neumann algebras of local observables for the free scalar field are investigated. In particular, the duality theorem for regions at a fixed time is proved. It is also shown that von Neumann algebras for regions at a fixed time are factors of type II∞ or III∞. An argument which excludes the possibility of a factor of type I for a general class of theory and for a certain class of regions is given.Keywords
This publication has 6 references indexed in Scilit:
- Remarks on the Type of Von Neumann Algebras of Local Observables in Quantum Field TheoryJournal of Mathematical Physics, 1963
- A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose FieldJournal of Mathematical Physics, 1963
- Postulates of Quantum Field TheoryJournal of Mathematical Physics, 1962
- Bemerkungen zur unitäräquivalenz von lorentzinvarianten feldernIl Nuovo Cimento (1869-1876), 1961
- Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen RöhreIl Nuovo Cimento (1869-1876), 1961
- Quantum Field Theory in Terms of Vacuum Expectation ValuesPhysical Review B, 1956