Abstract

In a previous paper it was shown that in field theory there are two possible conditions under which an elementary particle lies on a Regge trajectory. The first is that the proper vertex function vanishes and that the proper vertex poles are not the poles of scattering amplitudes; the second, due to Kaus and Zachariasen, is that the form factor and ${Z}_{3}$ both vanish. In the present paper it is shown that under the second condition, the polology approach (due to Bernstein et al.) and the original approach (due to Goldberger and Treiman) of obtaining the Goldberger-Treiman relation both fail. Therefore, this condition may be inadequate as a condition for Reggeization.

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