The isotropic attractor solution of axion-SU(2) inflation: Universal isotropization in Bianchi type-I geometry

Abstract

SU(2) gauge fields coupled to an axion field can acquire an isotropic background solution during inflation. We study homogeneous but anisotropic inflationary solutions in the presence of such (massless) gauge fields. A gauge field in the cosmological background may pose a threat to spatial isotropy. We show, however, that such models $\text{generally}$ isotropize in Bianchi type-I geometry, and the isotropic solution is the attractor. Restricting the setup by adding an axial symmetry, we revisited the numerical analysis presented in Wolfson et.al (2020). We find that the reported numerical breakdown in the previous analysis is an artifact of parametrization singularity. We use a new parametrization that is well-defined all over the phase space. We show that the system respects the cosmic no-hair conjecture and the anisotropies always dilute away within a few e-folds.

arXiv comment23 pages, 14 figures. Published 23 September 2021 Updated to published version

References in corpus (29)

• Gauge Fields and Inflation
• Chromo-Natural Inflation: Natural inflation on a steep potential with classical non-Abelian gauge fields
• Non-Abelian Gauge Field Inflation
• Gauge Fields and Inflation: Chiral Gravitational Waves, Fluctuations and the Lyth Bound
• Primordial Gravitational Waves from Axion-Gauge Fields Dynamics
• Stability analysis of chromo-natural inflation and possible evasion of Lyth's bound
• Finding the chiral gravitational wave background of an axion-SU(2) inflationary model using CMB observations and laser interferometers
• Schwinger Effect in 4D de Sitter Space and Constraints on Magnetogenesis in the Early Universe
• Axion Inflation with an SU(2) Gauge Field: Detectable Chiral Gravity Waves
• Axion Gauge Field Inflation and Gravitational Leptogenesis: A Lower Bound on B Modes from the Matter-Antimatter Asymmetry of the Universe
• Large Tensor Non-Gaussianity from Axion-Gauge Fields Dynamics
• Measuring the spectrum of primordial gravitational waves with CMB, PTA and Laser Interferometers
• Revisiting Cosmic No-Hair Theorem for Inflationary Settings
• Chiral Primordial Gravitational Waves from Dilaton Induced Delayed Chromo-natural Inflation
• Tensor Non-Gaussianity from Axion-Gauge-Fields Dynamics : Parameter Search
• Gauge-flation and Cosmic No-Hair Conjecture
• Chiral Gravity Waves and Leptogenesis in Inflationary Models with non-Abelian Gauge Fields
• Schwinger Effect by an $SU(2)$ Gauge Field during Inflation
• Chromo-Natural Model in Anisotropic Background
• Non-Gaussianity from Axion-Gauge Fields Interactions during Inflation
• Production and Backreaction of Spin-2 Particles of $SU(2)$ Gauge Field during Inflation
• Gravitational Leptogenesis, Reheating, and Models of Neutrino Mass
• Gravitational Leptogenesis in the Axion Inflation with an SU(2) gauge field
• Production and Backreaction of Fermions from Axion-$SU(2)$ Gauge Fields during Inflation
• How attractive is the isotropic attractor solution of axion-SU(2) inflation?
• Chiral Anomaly and Schwinger Effect in Non-Abelian Gauge Theories
• Dark Fermions and Spontaneous $CP$ violation in $SU(2)$-axion Inflation
• Chiral Anomaly in SU(2)${}_R$-Axion Inflation and the New Prediction for Particle Cosmology
• Anisotropic Massive Gauge-flation

Cited by in corpus (18)

• New physics from the polarised light of the cosmic microwave background
• Primordial gravitational waves from NANOGrav: a broken power-law approach
• Axion-Gauge Field Dynamics with Backreaction
• LiteBIRD Science Goals and Forecasts. A Case Study of the Origin of Primordial Gravitational Waves using Large-Scale CMB Polarization
• Anisotropic Hyperbolic Inflation
• The non-linear dynamics of axion inflation: a detailed lattice study
• The Inflated Chern-Simons Number in Spectator Chromo-Natural Inflation
• Gravitational wave trispectrum in the axion-SU(2) model
• Universality of linear perturbations in SU($N$)-natural inflation
• Gravitational waves detectable in laser interferometers from axion-SU(2) inflation
• Dynamics of inflation with mutually orthogonal vector fields in a closed universe
• SU($N$)-natural inflation
• Misalignment production of vector boson dark matter from axion-SU(2) inflation
• Chromo-natural inflation supported by enhanced friction from Horndeski gravity
• Effective Field Theory of Chiral Gravitational Waves
• How does SU($N$)-natural inflation isotropize the universe?
• Perturbative limits on axion-SU(2) gauge dynamics during inflation from the energy density of spin-2 particles
• Post-Inflationary Quenched Production of Axion SU(2) Dark Matter