A Jacobian generalization of the pseudo Nambu-Goldstone bosons potential

TL;DR

This paper introduces a generalized pseudo Nambu-Goldstone boson potential using elliptic Jacobian functions, enabling models for both early universe inflation and late-time cosmic acceleration, with compatibility to observational data.

Contribution

It extends the pseudo Nambu-Goldstone boson potential through elliptic Jacobian functions, providing new inflationary and quintessence models aligned with observations.

Findings

Inflationary model matches Planck 2015 data

Quintessence model classified as thawing type

Model consistent with supernova and Hubble data

Abstract

We enlarge the classes of inflaton and quintessence fields by generalizing the pseudo Nambu--Goldstone boson potential by means of elliptic Jacobian functions, which are characterized by a parameter $k$. We use such a generalization to implement an inflationary era and a late acceleration of the universe. As an inflationary model the Jacobian generalization leads us to a number of e-foldings and a primordial spectrum of perturbations compatible with the {\it Planck collaboration} 2015. As a quintessence model, a study of the evolution of its equation of state (EoS) and its $w'$--$w$ plane helps us to classify it as a thawing model. This allows us to consider analytical approximations for the EoS recently discovered for thawing quintessence. By using JLA Supernovae Ia and Hubble parameter $H(z)$ data sets, we perform an observational analysis of the viability of the model as quintessence.