Analytic Properties of Nonstrictly Localizable Fields
- 1 February 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (2) , 293-298
- https://doi.org/10.1063/1.1665590
Abstract
A class of test functions ``minimal with respect to causality'' is introduced. The corresponding fields are called local. Tempered and strictly localizable fields are local, but there is a large class of fields that are local but not strictly localizable. For local fields, the analytic properties of vacuum expectation values are studied. The local fields that are not strictly localizable are characterized by an arbitrary fast increase of Wightman functions near the light cone. With an adequate definition of local commutativity, other properties of tempered and strictly localizable fields seem to remain valid.Keywords
This publication has 9 references indexed in Scilit:
- Generalized functions of typeS and localizable fieldsLettere al Nuovo Cimento (1971-1985), 1969
- A rigorous formulation of LSZ field theoryCommunications in Mathematical Physics, 1968
- Weak local commutativity in nonrenormalizable theoriesPhysics Letters B, 1967
- High-Energy Behavior in Quantum Field Theory. I. Strictly Localizable FieldsPhysical Review B, 1967
- Les séries de multipôles des physiciens et la théorie des ultradistributionsMathematische Annalen, 1967
- Form Factors at Large Momentum TransferPhysical Review Letters, 1966
- Generalized Functions and Dispersion Relations in PhysicsFortschritte der Physik, 1966
- The structure of the distributions in local field theory and the asymptotic behavior of scattering amplitudesAnnals of Physics, 1965
- Non-local structure of field theories with non-renormalizable interactionIl Nuovo Cimento (1869-1876), 1958