Comparing Minimal and Non-Minimal Quintessence Models to 2025 DESI Data

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Main Authors: Adam, Husam, Hertzberg, Mark P., Jiménez-Aguilar, Daniel, Khan, Iman
Format: Preprint
Published: 2025
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author Adam, Husam
Hertzberg, Mark P.
Jiménez-Aguilar, Daniel
Khan, Iman
author_facet Adam, Husam
Hertzberg, Mark P.
Jiménez-Aguilar, Daniel
Khan, Iman
contents In this work we examine the 2025 DESI analysis of dark energy, which suggests that dark energy is evolving in time with an increasing equation of state $w$. We explore a wide range of quintessence models, described by a potential function $V(φ)$, including: quadratic potentials, quartic hilltops, double wells, cosine functions, Gaussians, inverse powers. We find that while some provide improvement in fitting to the data, compared to a cosmological constant, the improvement is only modest. We then consider non-minimally coupled scalars which can help fit the data by providing an effective equation of state that temporarily obeys $w<-1$ and then relaxes to $w>-1$. Since the scalar is very light, this leads to a fifth force and to time evolution in the effective gravitational strength, which are both tightly constrained by tests of gravity. For a very narrow range of carefully selected non-minimal couplings we are able to evade these bounds, but not for generic values.
format Preprint
id arxiv_https___arxiv_org_abs_2509_13302
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Comparing Minimal and Non-Minimal Quintessence Models to 2025 DESI Data
Adam, Husam
Hertzberg, Mark P.
Jiménez-Aguilar, Daniel
Khan, Iman
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
In this work we examine the 2025 DESI analysis of dark energy, which suggests that dark energy is evolving in time with an increasing equation of state $w$. We explore a wide range of quintessence models, described by a potential function $V(φ)$, including: quadratic potentials, quartic hilltops, double wells, cosine functions, Gaussians, inverse powers. We find that while some provide improvement in fitting to the data, compared to a cosmological constant, the improvement is only modest. We then consider non-minimally coupled scalars which can help fit the data by providing an effective equation of state that temporarily obeys $w<-1$ and then relaxes to $w>-1$. Since the scalar is very light, this leads to a fifth force and to time evolution in the effective gravitational strength, which are both tightly constrained by tests of gravity. For a very narrow range of carefully selected non-minimal couplings we are able to evade these bounds, but not for generic values.
title Comparing Minimal and Non-Minimal Quintessence Models to 2025 DESI Data
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2509.13302