Divergence-free Nonrenormalizable Models

TL;DR

This paper introduces a new approach to nonrenormalizable scalar quantum field theories that avoids divergences in perturbation analysis by redefining the free theory, offering a divergence-free formulation.

Contribution

It proposes a novel method to replace traditional counterterms, enabling divergence-free perturbation analysis in nonrenormalizable models.

Findings

Achieves divergence-free perturbation analysis

Reexamines the meaning of the free theory

Provides a covariant, self-interacting scalar field formulation

Abstract

A natural procedure is introduced to replace the traditional, perturbatively generated counter terms to yield a formulation of covariant, self-interacting, nonrenormalizable scalar quantum field theories that has the added virtue of exhibiting a divergence-free perturbation analysis. To achieve this desirable goal it is necessary to reexamine the meaning of the free theory about which such a perturbation takes place.