Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field

Abstract

We study inflationary universes with an SU(3) gauge field coupled to an inflaton through a gauge kinetic function. Although the SU(3) gauge field grows at the initial stage of inflation due to the interaction with the inflaton, nonlinear self-couplings in the kinetic term of the gauge field become significant and cause nontrivial dynamics after sufficient growth. We investigate the evolution of the SU(3) gauge field numerically and reveal attractor solutions in the Bianchi type I spacetime. In general cases where all the components of the SU(3) gauge field have the same magnitude initially, they all tend to decay eventually because of the nonlinear self-couplings. Therefore, the cosmic no-hair conjecture generically holds in a mathematical sense. Practically, however, the anisotropy can be generated transiently in the early universe, even for an isotropic initial condition. Moreover, we find particular cases for which several components of the SU(3) gauge field survive against the nonlinear self-couplings. It occurs due to flat directions in the potential of a gauge field for Lie groups whose rank is higher than one. Thus, an SU(2) gauge field has a specialty among general non-Abelian gauge fields.

arXiv comment16 pages, 4 figures

References in corpus (56)

• Planck 2018 results. X. Constraints on inflation
• Inflationary Universe with Anisotropic Hair
• Fundamental Physics with the Square Kilometre Array
• Gauge Fields and Inflation
• Imprints of a Primordial Preferred Direction on the Microwave Background
• Vector Inflation
• Instability of anisotropic cosmological solutions supported by vector fields
• The anisotropic power spectrum and bispectrum in the f(phi) F^2 mechanism
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• Statistical Anisotropy from Anisotropic Inflation
• Scalar-Scalar, Scalar-Tensor, and Tensor-Tensor Correlators from Anisotropic Inflation
• Cosmological Magnetic Fields from Inflation and Backreaction
• Anisotropic Power-law Inflation
• Primordial Power Spectra from Anisotropic Inflation
• Anisotropic Inflation from Vector Impurity
• Vector theories in cosmology
• Imprints of anisotropic inflation on the cosmic microwave background
• Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field
• Revisiting Cosmic No-Hair Theorem for Inflationary Settings
• Anisotropic Inflation from Charged Scalar Fields
• Anisotropy in solid inflation
• Inflation with stable anisotropic hair: is it cosmologically viable?
• Inflation with Multi-Vector-Hair: The Fate of Anisotropy
• Anisotropic Non-Gaussianity from a Two-Form Field
• Anisotropic power-law k-inflation
• Parity-violating and anisotropic correlations in pseudoscalar inflation
• δN Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum
• Anisotropic Constant-roll Inflation
• Observational signatures of anisotropic inflationary models
• Gauge-flation and Cosmic No-Hair Conjecture
• Anisotropic Inflation with Non-Abelian Gauge Kinetic Function
• Designing Anisotropic Inflation with Form Fields
• Anisotropic inflation reexamined: upper bound on broken rotational invariance during inflation
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• Curvature Perturbations in Anisotropic Inflation with Symmetry Breaking
• MHz Gravitational Waves from Short-term Anisotropic Inflation
• Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy?
• Signatures of anisotropic sources in the trispectrum of the cosmic microwave background
• The TT, TB, EB and BB correlations in anisotropic inflation
• Limits on statistical anisotropy from BOSS DR12 galaxies using bipolar spherical harmonics
• Stability analysis of inflation with an SU(2) gauge field
• An Estimator for statistical anisotropy from the CMB bispectrum
• Detecting higher spin fields through statistical anisotropy in the CMB bispectrum
• Clustering Fossil from Primordial Gravitational Waves in Anisotropic Inflation
• Inflationary Dynamics with a Non-Abelian Gauge Field
• Violation of statistical isotropy and homogeneity in the 21-cm power spectrum
• Stochastic Effects in Anisotropic Inflation
• Anisotropic Hyperbolic Inflation
• Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System
• Inflation with multiple vector fields and non-Gaussianities
• General quadrupolar statistical anisotropy: Planck limits
• Charged Vector Inflation
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Anisotropy in Inflation with Non-minimal Coupling
• Effective Field Theory of Anisotropic Inflation and Beyond

Cited by in corpus (7)

• Anisotropic Hyperbolic Inflation
• Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
• Anisotropic warm inflation
• Effective Field Theory of Chiral Gravitational Waves
• How does SU($N$)-natural inflation isotropize the universe?
• Anisotropic power-law inflation for a generalized model of two scalar and two vector fields
• Anisotropic constant-roll k-inflation model