New agegraphic dark energy as a rolling tachyon

TL;DR

This paper demonstrates that the new agegraphic dark energy model can be fully described by a tachyon scalar-field, reconstructing its potential and dynamics based on the universe's conformal age.

Contribution

It establishes a complete correspondence between the new agegraphic dark energy and a tachyon scalar-field, providing a new scalar-field representation of this dark energy model.

Findings

Reconstructed the tachyon potential consistent with new agegraphic dark energy.

Derived the dynamics of the tachyon scalar-field from the agegraphic dark energy evolution.

Showed the equivalence between the new agegraphic dark energy and a tachyon scalar-field.

Abstract

Combining the general relativity and the uncertainty relation in quantum mechanics, the energy density of quantum fluctuations of space-time can be viewed as dark energy. The so-called agegraphic dark energy model is just based on this viewpoint, in which the age of the universe is introduced as the length measure. Recently, the new agegraphic dark energy model was proposed, where the dynamical dark energy is measured by the conformal age of the universe. On the other hand, scalar-field dark energy models like tachyon are often regarded as an effective description of some underlying theory of dark energy. In this paper, we show that the new agegraphic dark energy can be described completely by a tachyon scalar-field. We thus reconstruct the potential and the dynamics of the tachyon scalar-field, according to the evolution of the new agegraphic dark energy.