On the Jauch Field

Abstract

As an approach to theoretical understanding of neutral particles a new kind of field recently aug· gested by Jauch, referred to as Jauch field below, is discussed in detail. Lagrangian and Hamiltonian formulation· of Jauch field is obtained, which leads to the required anticommutators given by Jauch. The Jauch field, in appearance, shows the intermediate nature between Dirac and Majorana fields, but it is shown that contrary to Jauch's conclusion it can be a charged field with gauge invariant electromagnetic interaction. Gauge and Lorentz transformations of this field are examined, which again lead to quite contrary results to Jauch. Interaction terms are introduced and as an example the application to fl-decay neutrino is discussed. It is concluded that Jauch field is essentially equivalent to Dirac field and so in general the problem of this field should be considered from the view·point of the structure of interactions of Dirac field. It is pointed out, however, that in some circumstances the concept of Jauch field may more suitably describe the physical reality than that of Dirac field. In the Appendix some remarks are given on the quantization of Majorana field.