On the Application of Fields with Continuous Mass Parameter

Abstract

We introduce the interacting fields with continuous mass parameter by the substitution:

$${{A}^{2}}(x)\to C(x)=\int\limits_{\mu .}^{\infty }{\alpha {{x}^{2}}}\sigma ({{x}^{2}})\varphi (xj{{x}^{2}}) {{\sigma }^{2}}(s)=\frac{1}{16{{\pi }^{2}}}\sqrt{\frac{s-u.}{s}}$$

in local interaction Lagrangean /e.g Lint=goA²B²/. We get in such a way the field-theoretic model, describing in perturbation theory the subset of Feynman diagrams of local exact theory [1].