Constant-roll inflation with a complex scalar field

TL;DR

This paper explores a novel inflationary model driven by a complex scalar field with constant roll, deriving analytical solutions for perturbations and comparing predictions with cosmic microwave background data.

Contribution

It introduces a constant-roll inflation model with a complex scalar field and provides analytical solutions for scalar and tensor perturbations.

Findings

Analytical expressions for scalar power spectrum and spectral index.

Constraints on model parameters from cosmic microwave background data.

Predictions consistent with observational data.

Abstract

We consider inflation with a constant rate of rolling in which a complex scalar field plays the role of inflaton during the inflationary epoch. We implement the inflationary analysis for an accredited angular speed $\dot{\theta}$ which satisfies our dynamical equations. Scalar and tensorial perturbations generated in the framework of constant roll inflation with a complex field are studied. In this respect, we find analytically solutions to the gauge invariant fluctuations, with which an expression for the scalar power spectrum together with its scalar index spectral in this scenario were found. By comparing the obtained results with the observations coming from the cosmic microwave background anisotropies, the constraints on the parameters space of the model and also its predictions are analyzed and discussed.