Perturbative Approach For Non Renormalizable Theories

TL;DR

This paper introduces a perturbative method that extends renormalization to non-renormalizable theories, exemplified by quantum gravity, by using an additional expansion parameter to handle divergences.

Contribution

A novel perturbative approach with an extra expansion parameter that renders non-renormalizable theories finite and manageable.

Findings

Divergences are eliminated using the new expansion parameter.

Physical quantities are expressed as finite series of interdependent parameters.

Method successfully applied to quantum Einstein gravity.

Abstract

Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite number of interdependent expansion parameters. Suggested method is applied to quantum (Einstein's) gravity.