Statefinder diagnostic for Yang-Mills dark energy model

TL;DR

This paper analyzes the statefinder parameters in Yang-Mills condensate dark energy models, highlighting their unique trajectories and proposing eigenfunctions to distinguish them from other models.

Contribution

It introduces a diagnostic method using statefinder parameters and eigenfunctions to differentiate Yang-Mills dark energy models from other dark energy models.

Findings

Trajectories differ from other dark energy models

Eigenfunctions close to zero when equation-of-state near -1

Provides a simple diagnostic tool for model differentiation

Abstract

We study the statefinder parameters in the Yang-Mills condensate dark energy models, and find that the evolving trajectories of these models are different from those of other dark energy models. We also define two eigenfunctions of the Yang-Mills condensate dark energy models. The values of these eigenfunctions are quite close to zero if the equation-of-state of the Yang-Mills condensate is not far from -1, which can be used to simply differentiate between the Yang-Mills condensate models and other dark energy models.