Possible theoretical limits on holographic quintessence from weak gravity conjecture

TL;DR

This paper explores theoretical constraints on holographic quintessence models imposed by the weak gravity conjecture, focusing on the parameter c that influences dark energy evolution.

Contribution

It derives bounds on the holographic quintessence parameter c based on the weak gravity conjecture, linking quantum gravity principles to dark energy models.

Findings

Constraints on parameter c for holographic quintessence

Limits on variation of scalar field below Planck mass

Theoretical bounds on dark energy model parameters

Abstract

The holographic dark energy model is one of the important ways for dealing with the dark energy problems in the quantum gravity framework. In this model, the dimensionless parameter $c$ plays an essential role in determining the evolution of the holographic dark energy. In particular, the holographic dark energy with $c\geq 1$ can be effectively described by a quintessence scalar-field. However, according to the requirement of the weak gravity conjecture the variation of the quintessence scalar-field should be less than the Planck mass, which would give theoretic constraints on the parameters $c$ and $\Omega_{\mathrm{m0}}$. Therefore, we get the possible theoretical limits on the parameter $c$ for the holographic quintessence model.