literature
Literature
Authors
Jobs
Seminars
Conferences
DataBETA

Selection rules for parafields and the absence of para particles in nature

Mar, 1963
Published in:
  • Phys.Rev. 138 (1965) B1155-B1167
DOI:
View in:
reference search181 citations

Citations per year

196619811996201120250246810
Abstract: (APS)
Green's parafield quantization is reviewed. It is shown, both for a single field and for sets of fields, that all Fock-like representations of Green's trilinear commutation rules are realized by Green's ansatz with anticommuting (commuting) Bose (Fermi) component fields for para-Bose (para-Fermi) fields. Restrictions on the form of the interaction Hamiltonian density HI(x) are derived from the requirement that HI(x) be a paralocal operator. From these restrictions on HI selection rules on the S matrix are proved to all orders of perturbation theory. The most important such rule prohibits all reactions in which the total number of para particles of order p>1 in the initial and final states is one. This last selection rule, together with experimental information, leads to the conclusion that no presently known particle can be para.