4-D Quantum Dilaton Gravity During Inflation and Renormalization at One loop

TL;DR

This paper demonstrates that 4D quantum-dilaton gravity with general couplings can be successfully renormalized at one-loop during inflation, providing insights into its effective behavior in an expanding universe.

Contribution

It shows the one-loop renormalization of 4D quantum-dilaton gravity in an inflationary background with general couplings, highlighting its potential as an effective theory.

Findings

Successful one-loop renormalization during inflation

Effective theory description of quantum-dilaton gravity

Applicability to homogeneous and isotropic universes

Abstract

We consider 4D quantum-dilaton gravity with the most general coupling in a homogeneous and isotropic universe, especially an inflationary one, which is essentially characterized by an exponentially expanding scale factor with time. We show that on the inflationary background this theory can be miraculously renormalized, at least at the one-loop level, which must be an effective theory during the inflation of the un-constructed complete quantum theory of gravity.