Interacting holographic dark energy with logarithmic correction

TL;DR

This paper explores a new model of holographic dark energy incorporating quantum entropy corrections, analyzing its interaction with dark energy, deriving its equation of state, and relating it to generalized Chaplygin gas.

Contribution

It introduces a novel entropy-corrected holographic dark energy model based on loop quantum cosmology and examines its interaction and correspondence with other dark energy models.

Findings

Derived the effective equation of state for the new dark energy model.

Established a correspondence with generalized Chaplygin gas.

Analyzed the implications of quantum entropy corrections on dark energy behavior.

Abstract

The holographic dark energy (HDE) is considered to be the most promising candidate of dark energy. Its definition is originally motivated from the entropy-area relation which depends on the theory of gravity under consideration. Recently a new definition of HDE is proposed with the help of quantum corrections to the entropy-area relation in the setup of loop quantum cosmology. Using this new definition, we investigate the model of interacting dark energy and derive its effective equation of state. Finally we establish a correspondence between generalized Chaplygin gas and entropy-corrected holographic dark energy.