One-loop divergences of quantum gravity coupled with scalar electrodynamics

TL;DR

This paper investigates the one-loop divergences in a non-supersymmetric quantum gravity model coupled with scalar electrodynamics, showing that the Einstein-Maxwell-scalar system is non-renormalizable at one loop.

Contribution

It introduces a method to calculate one-loop divergences in Einstein-Maxwell-scalar systems and demonstrates their non-renormalizability at this order.

Findings

The Einstein-Maxwell-scalar system is non-renormalizable at one loop.

A systematic approach to compute divergences in gravity coupled with scalar electrodynamics.

Identification of the limitations of renormalizability in this coupled system.

Abstract

In non-supersymmetric covariant quantum gravity theory, for each system of gravity coupled with single field is one-loop divergent. Since adding other fields or other interactions to each system generates more possible counter-Lagrangian terms, there is room for improvement to restore renormalizability. In this paper, we consider Einstein-Maxwell fields coupled with electrically charged scalar which is the simplest model among the systems of gravity coupled with multiple fields having their own interaction. First, we introduce how to calculate the possible one-loop diagrams in Einstein-SQED system and show that this system is non-renormalizable.