Absence of a charge renormalization in the Higgs model interacting with conformal two-dimensional gravity

TL;DR

This paper demonstrates that in a four-dimensional Higgs model interacting with a conformal two-dimensional gravity, the usual charge renormalization is absent due to improved short-distance behavior caused by the gravitational interaction.

Contribution

It introduces a conformal two-dimensional gravity model interacting with the Higgs field, showing the elimination of charge renormalization in this context.

Findings

No charge renormalization in the Higgs model with conformal gravity

Improved short-distance behavior due to gravitational interaction

Interaction with 2D conformal gravity affects 4D field theory

Abstract

We discuss D-dimensional scalar and electromagnetic fields interacting with a quantized metric. The gravitons depend solely on twodimensional coordinates. We consider a conformal field theory model for the metric tensor. We show that an interaction with gravity improves the short distance behaviour. As a result there is no charge renormalization in the fourdimensional Higgs model.