Nature of the Axioms of Relativistic Quantum Field Theory. I
- 1 November 1961
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 2 (6), 767-771
- https://doi.org/10.1063/1.1724220
Abstract
The formulation of field theories by means of Wightman functions is studied. It is shown that, given two field theories that satisfy all the axioms, one can construct a family of Wightman fields with the same properties by a process of superposition of Wightman functions. The condition of unitarity is formulated without reference to asymptotic conditions, and it is proved that the Wightman fields constructed by the above superposition process (starting with ``unitary'' fields) fail to preserve unitarity, and a fortiori, the standard asymptotic condition.Keywords
This publication has 7 references indexed in Scilit:
- Quantum Mechanical Systems with Indefinite Metric. IPhysical Review B, 1961
- Asymptotic Conditions and Perturbation TheoryPhysical Review B, 1960
- Über die mannigfaltigkeit der interpolierenden felder zu einer kausalenS-MatrixIl Nuovo Cimento (1869-1876), 1960
- Quantum Field Theory in Terms of Vacuum Expectation ValuesPhysical Review B, 1956
- Configuration Space Methods in Relativistic Quantum Field Theory. IPhysical Review B, 1955
- Structure of the Scattering MatrixPhysical Review B, 1955
- Zur Formulierung quantisierter FeldtheorienIl Nuovo Cimento (1869-1876), 1955