Inflationary universe from higher derivative quantum gravity coupled with scalar electrodynamics

Abstract

We study inflation for a quantum scalar electrodynamics model in curved space–time and for higherderivative quantum gravity (QG) coupled with scalar electrodynamics. The corresponding renormalizationgroup (RG) improved potential is evaluated for both theories in Jordan frame where non-minimal scalargravitational coupling sector is explicitly kept. The role of one-loop quantum corrections is investigated by showing how these corrections enter in the expressions for the slow-roll parameters, the spectral index and the tensor-to-scalar ratio and how they influence the bound of the Hubble parameter at the beginning of the primordial acceleration. We demonstrate that the viable inflation maybe successfully realized, so that it turns out to be consistent with last Planck and BICEP2/Keck Array data.