Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results

TL;DR

This paper explores inflationary models based on renormalization-group improved potentials in scalar electrodynamics and SU(5) theories, demonstrating their compatibility with Planck2013 and BICEP2 observations through quantum corrections.

Contribution

It introduces inflationary scenarios using RG-improved potentials in scalar electrodynamics and SU(5), showing their viability without adding the Einstein-Hilbert term.

Findings

Inflation occurs with positive coupling functions in scalar electrodynamics and SU(5) models.

Models align well with Planck2013 and BICEP2 observational data.

No suitable de Sitter solutions for finite SU(2) models unless non-standard exit scenarios are considered.

Abstract

The possibility to construct inflationary models for the renormalization-group improved potentials corresponding to scalar electrodynamics and to $SU(2)$ and $SU(5)$ models is investigated. In all cases, the tree-level potential, which corresponds to the cosmological constant in the Einstein frame, is seen to be non-suitable for inflation. Rather than adding the Hilbert-Einstein term to the action, quantum corrections to the potential, coming from to the RG-equation, are included. The inflationary scenario is analyzed with unstable de Sitter solutions which correspond to positive values of the coupling function, only. We show that, for the finite $SU(2)$ model and $SU(2)$ gauge model, there are no de Sitter solutions suitable for inflation, unless exit from it occurs according to some weird, non-standard scenarios. Inflation is realized both for scalar electrodynamics and for $SU(5)$ RG-improved potentials, and the corresponding values of the coupling function are seen to be positive. It is shown that, for quite reasonable values of the parameters, the inflationary models obtained both from scalar electrodynamics and from the $SU(5)$ RG-improved potentials, are in good agreement with the most recent observational data coming from the Planck2013 and BICEP2 collaborations.