Structure Formation in the Effective Field Theory of Holographic Dark Energy

TL;DR

This paper studies how structures form under holographic dark energy models using effective field theory, finding that the equations match general relativity in certain regimes but face issues with phantom-like states, which are addressed by removing the scalar graviton.

Contribution

It introduces an effective field theory framework for holographic dark energy and proposes a method to handle the breakdown when the equation of state becomes phantom-like.

Findings

Equations of matter contrast match general relativity in the small scale limit.

Breakdown occurs when the dark energy equation of state becomes phantom-like.

Removing the scalar graviton offers a solution to the breakdown problem.

Abstract

We investigate the structure formation in the effective field theory of the holographic dark energy. The equation of motion for the energy contrast $\delta_m$ of the cold dark matter is the same as the one in the general relativity up to the leading order in the small scale limit $k\gg aH$, provided the equation of state is Quintessence-like. Our effective field theory breaks down while the equation of state becomes phantom-like. We propose a solution to this problem by eliminating the scalar graviton.