New general parametrization of quintessence fields and its observational constraints

Abstract

We present a new parameterization of quintessence potentials for dark energy based directly upon the dynamical properties of the equations of motion. Such parameterization arises naturally once the equations of motion are written as a dynamical system in terms of properly defined polar variables. We have identified two different classes of parameters, and we dubbed them as dynamical and passive parameters. The dynamical parameters appear explicitly in the equations of motion, but the passive parameters play just a secondary role in their solutions. The new approach is applied to the so-called thawing potentials and it is argued that only three dynamical parameters are sufficient to capture the evolution of the quintessence fields at late times. This work reconfirms the arbitrariness of the quintessence potentials as the recent observational data fail to constrain the dynamical parameters.

arXiv comment15 pages, 10 figures

References in corpus (56)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Cosmological parameters from SDSS and WMAP
• Cosmological Imprint of an Energy Component with General Equation of State
• Cosmological Constant - the Weight of the Vacuum
• The Case for a Positive Cosmological Lambda-term
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Axion Cosmology
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• Cosmological Tracking Solutions
• Exponential potentials and cosmological scaling solutions
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Dark Energy after GW170817: dead ends and the road ahead
• Conservative Constraints on Early Cosmology: an illustration of the Monte Python cosmological parameter inference code
• Dark Energy after GW170817 and GRB170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Planck 2015 results. XI. CMB power spectra, likelihoods, and robustness of parameters
• Quintessence: A Review
• Quintessence arising from exponential potentials
• A New Cosmological Model of Quintessence and Dark Matter
• Dynamical dark energy in light of the latest observations
• Planck 2015 results. XIV. Dark energy and modified gravity
• Breaking a Dark Degeneracy with Gravitational Waves
• The Robustness of Quintessence
• Challenges to Self-Acceleration in Modified Gravity from Gravitational Waves and Large-Scale Structure
• Thawing quintessence with a nearly flat potential
• A new cosmological tracker solution for Quintessence
• A model independent approach to the dark energy equation of state
• Applications of scalar attractor solutions to Cosmology
• The Paths of Quintessence
• Quintessence: a mini-review
• General Scalar Fields as Quintessence
• Hilltop Quintessence
• Towards accurate cosmological predictions for rapidly oscillating scalar fields as dark matter
• Slow-Roll Thawing Quintessence
• Natural Inflation: Consistency with Cosmic Microwave Background Observations of Planck and BICEP2
• Quintessence reconstructed: new constraints and tracker viability
• Exact Analysis of Scaling and Dominant Attractors Beyond the Exponential Potential
• Curved Space or Curved Vacuum?
• Introduction to the application of the dynamical systems theory in the study of the dynamics of cosmological models of dark energy
• Unified description of the dynamics of quintessential scalar fields
• Generalized Brans-Dicke Theory: A Dynamical Systems Analysis
• Tracking quintessence: a dynamical systems study
• A divergence-free parametrization for dynamical dark energy
• Can we ever distinguish between quintessence and a cosmological constant?
• Probing a Steep EoS for Dark Energy with latest observations
• Constraints on Steep Equation of State for the Dark Energy using BAO
• New perturbative method for analytical solutions in single-field models of inflation
• Linear and non-linear perturbations in dark energy models
• Dark Energy Parametrization motivated by Scalar Field Dynamics

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• Dynamical dark energy in the light of DESI 2024 data
• Bayesian model selection on Scalar $\epsilon$-Field Dark Energy
• Quintessential Cosmological Tensions
• Constraints on field flows of quintessence dark energy
• Perturbations in a scalar field model with virtues of $\Lambda$CDM
• Dynamical systems analysis of tachyon dark energy model from a new perspective
• The arbitrariness of potentials in interacting quintessence models
• Scalar field dark matter with a cosh potential, revisited
• A single parameterization for dark energy and modified gravity models
• Interacting Scalar fields: Dark matter and early dark energy
• One-parametric description for scalar field dark matter potentials
• Quintessence scalar field and cosmological constant: Dynamics of a multi-component dark energy model
• Phantom scalar field cosmologies constrained by early cosmic measurements
• Perturbations In Some Dark Energy Models