Dynamical analysis of cosmological models with non-Abelian gauge vector fields

Abstract

In this paper we study some models where non-Abelian gauge vector fields endowed with a SU(2) group representation are the unique source of inflation and dark energy. These models were first introduced under the name of gaugeflation and gaugessence, respectively. Although several realizations of these models have been discussed, not all available parameters and initial conditions are known. In this work, we use a dynamical system approach to find the full parameter space of the massive version of each model. In particular, we found that the inclusion of the mass term increases the length of the inflationary period. Additionally, the mass term implies new behaviors for the equation of state of dark energy allowing to distinguish this from other prototypical models of accelerated expansion. We show that an axially symmetric gauge field can support an anisotropic accelerated expansion within the observational bounds.

arXiv comment20 pages, 22 figures. V2: typos corrected and references added. Published version

References in corpus (76)

• 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
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• A 2.4% Determination of the Local Value of the Hubble Constant
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• Planck 2013 results. XXII. Constraints on inflation
• Cosmology and Fundamental Physics with the Euclid Satellite
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Planck 2013 results. XXIII. Isotropy and statistics of the CMB
• Planck 2015 results. XVI. Isotropy and statistics of the CMB
• Planck 2015 results. XIV. Dark energy and modified gravity
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Gauge Fields and Inflation
• CMB Anomalies after Planck
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Theoretical Models of Dark Energy
• Non-Abelian Gauge Field Inflation
• Early-universe constraints on a Primordial Scaling Field
• Statistical Anisotropy from Anisotropic Inflation
• Can the $H_0$ tension be resolved in extensions to $\Lambda$CDM cosmology?
• Searching for a Cosmological Preferred Axis: Union2 Data Analysis and Comparison with Other Probes
• Limits on anisotropic inflation from the Planck data
• Signatures of anisotropic sources in the squeezed-limit bispectrum of the cosmic microwave background
• Inflation from N-Forms and its stability
• Inflation and dark energy from three-forms
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Testing the Isotropy of the Universe with Type Ia Supernovae
• Bayesian analysis of an anisotropic universe model: systematics and polarization
• Higgsed Chromo-Natural Inflation
• Non-minimal gravitational reheating during kination
• Ricci Reheating
• Galaxy Bispectrum from Massive Spinning Particles
• Hamilton's approach in cosmological inflation with an exponential potential and its observational constraints
• Gauge-flation Vs Chromo-Natural Inflation
• On the Cosmology of Massive Vector Fields with SO(3) Global Symmetry
• Gauge-flation confronted with Planck
• Gauge-flation and Cosmic No-Hair Conjecture
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Chromo-Natural Model in Anisotropic Background
• Detecting higher spin fields through statistical anisotropy in the CMB and galaxy power spectra
• Gravitational waves from global cosmic strings in quintessential inflation
• Coupled three-form dark energy
• Constraining anisotropic models of the early Universe with WMAP9 data
• (Non-)thermal production of WIMPs during kination
• Higgsed Gauge-flation
• Autonomous Dynamical System Approach for Inflationary Gauss-Bonnet Modified Gravity
• Quintessential Affleck-Dine baryogenesis with non-minimal couplings
• Dynamical analysis for a vector-like dark energy
• Non-Abelian $S$-term dark energy and inflation
• Detecting higher spin fields through statistical anisotropy in the CMB bispectrum
• Hubble-induced phase transitions: Walls are not forever
• Dark energy as a fixed point of the Einstein Yang-Mills Higgs Equations
• Higgs Dark Energy
• Einstein Yang-Mills Higgs dark energy revisited
• Anisotropic $2$-form dark energy
• Leptogenesis in Inflationary models with Non-Abelian Gauge Fields
• Massive Gauge-flation
• Three-form inflation and non-Gaussianity
• Constraints on long-lived, higher-spin particles from galaxy bispectrum
• Gaugessence: a dark energy model with early time radiation-like equation of state
• Initial energy density of $\sqrt{s}=$ 7 and 8 TeV p+p collisions at the LHC
• Non-Gaussianity in multiple three-form field inflation
• Slow-roll trajectories in Chromo-Natural and Gauge-flation Models, an exhaustive analysis
• Arbitrarily coupled $p-$forms in cosmological backgrounds
• Stability Conditions in the Generalized SU(2) Proca Theory
• Probing higher-spin fields from inflation with higher-order statistics of the CMB
• Anisotropic inflation with coupled $\mathbf{p}$-forms
• Dynamical Analysis of Anisotropic Inflation
• Searching for Cosmological Preferred Axis using cosmographic approach
• Topological mass generation and $2-$forms
• Cosmology in the Einstein-Electroweak Theory and Magnetic Fields
• $p$-form quintessence: exploring dark energy of $p-$forms coupled to a scalar field
• Analysis of Vector-Inflation Models Using Dynamical Systems
• Cosmic Solutions in the Einstein-Weinberg-Salam Theory and the Generation of Large Electric and Magnetic Fields

Cited by in corpus (23)

• Generalized SU(2) Proca theory reconstructed and beyond
• Anisotropic solid dark energy
• Anisotropic $k$-essence
• Gauged Quintessence
• Structure formation in an anisotropic universe: Eulerian perturbation theory
• Dynamics of inflation with mutually orthogonal vector fields in a closed universe
• Anisotropic Scalar Field Dark Energy with a Disformally Coupled Yang-Mills Field
• Conformally and Disformally Coupled Vector field Models of Dark Energy
• Tracking the validity of the quasi-static and sub-horizon approximations in modified gravity
• Late-Time Anisotropy Sourced by a 2-Form Field Non-Minimally Coupled to Cold Dark Matter
• Reconstructing the parameter space of non-analytical cosmological fixed points
• Dark Energy with a Triplet of Classical U(1) Fields
• Cosmological application of the Maxwell gravity
• Induced Cosmological Anisotropies and CMB Anomalies by a non-Abelian Gauge-Gravity Interaction
• The problem of motion in gauge theories of gravity
• Dynamical Shortcomings in the Generalized SU(2) Proca Theory: Challenges for Cosmic Acceleration
• Horndeski in motion
• Induced cosmological anisotropy by a gauge-gravity interaction
• Modified Friedmann Equations from Maxwell-Weyl Gauge Theory
• Internal symmetry to the rescue: well-posed 1+1 evolution of self-interacting vector fields
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background
• Torsion-Induced Modification to Friedmann Equations in $AdS{L}_4$ Gauged Gravity
• An effective fluid description of scalar-vector-tensor theories under the sub-horizon and quasi-static approximations