Two Folk Lemmas on the Expansion of the S Matrix or the Out Field in Normal Ordered In Fields
- 1 January 1962
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 3 (1) , 31-34
- https://doi.org/10.1063/1.1703783
Abstract
We prove that if the out field or the S matrix is expanded in terms of normal ordered products of the in field, then either the expansion has infinite degree or it is the trivial case Aout=Ain, S=1. From this fact it follows that any field theory model in which the Heisenberg field (local or not) has a terminating normal ordered expansion in terms of a (generalized) free field cannot provide a nontrivial unitary S matrix.Keywords
This publication has 3 references indexed in Scilit:
- Generalized free fields and models of local field theoryAnnals of Physics, 1961
- Local fields with terminating expansionsIl Nuovo Cimento (1869-1876), 1961
- On the formulation of quantized field theories — IIIl Nuovo Cimento (1869-1876), 1957