Potentials of Coupled Quintessence Based on a Dilaton

TL;DR

This paper explores a dilaton-based coupled quintessence model, constructing scalar potentials from dark energy parametrizations and analyzing their behaviors compared to standard quintessence models.

Contribution

It introduces a dilaton-based coupled quintessence (DCQ) model and develops a method to construct scalar potentials from dark energy parametrizations.

Findings

DCQ potentials exhibit two distinct evolution modes: 'O' and 'E' modes.

Constructed potentials align with different dark energy behaviors.

Numerical comparison shows similarities and differences with standard quintessence.

Abstract

In this paper, we regard dilaton in Weyl-scaled induced gravitational theory as coupled Quintessence, which is called DCQ model by us. Parametrization of the dark energy model is a good method by which we can construct the scalar potential directly from the effective equation of state function $\omega_\sigma(z)$ describing the properties of the dark energy. Applying this method to the DCQ model, we consider four parametrizations of $\omega(z)$ and investigate the features of the constructed DCQ potentials, which possess two different evolutive behaviors called "O" mode and "E" mode. Lastly, we comprise the results of the constructed DCQ model with those of quintessence model numerically.