Holographic Scalar Fields Models of Dark Energy

TL;DR

This paper reconstructs analytical scalar field potentials for holographic dark energy models using the Hubble radius as IR cutoff, demonstrating their viability and scaling solutions in a flat universe.

Contribution

It provides explicit analytical forms of scalar potentials for various dark energy models based on holographic principles, which was previously complex to derive.

Findings

Reconstructed potentials are reasonable and exhibit scaling solutions.

Supports the viability of holographic dark energy with Hubble radius as IR cutoff.

Established correspondence between holographic energy density and multiple scalar field models.

Abstract

Many theoretical attempts toward reconstructing the potential and dynamics of the scalar fields have been done in the literature by establishing a connection between holographic/agegraphic energy density and a scalar field model of dark energy. However, in most of these cases the analytical form of the potentials in terms of the scalar field have not been reconstructed due to the complexity of the equations involved. In this paper, by taking Hubble radius as system's IR cutoff, we are able to reconstruct the analytical form of the potentials as a function of scalar field, namely $V=V(\phi)$ as well as the dynamics of the scalar fields as a function of time, namely $\phi=\phi(t)$ by establishing the correspondence between holographic energy density and quintessence, tachyon, K-essence and dilaton energy density in a flat FRW universe. The reconstructed potentials are quite reasonable and have scaling solutions. Our study further supports the viability of the holographic dark energy model with Hubble radius as IR cutoff.