"Renormalization" Of Non Renormalizable Theories

TL;DR

This paper introduces a perturbative method with an extra expansion parameter to handle divergences in non-renormalizable theories, demonstrated on a massive non-abelian gauge theory coupled to fermions.

Contribution

It presents a novel perturbative approach that removes divergences in non-renormalizable theories using an additional expansion parameter.

Findings

Divergences can be eliminated with the new method.

Physical quantities are expressed as finite series.

Method applied successfully to a non-abelian gauge theory with fermions.

Abstract

A perturbative approach for non renormalizable theories is developed. It is shown that the introduction of an extra expansion parameter allows one to get rid of divergences and express physical quantities as series with finite coefficients. The method is demonstrated on the example of massive non abelian field coupled to a fermion field.