Particle Production of Vector Fields: Scale Invariance is Attractive

Abstract

In a model of an Abelian vector boson with a Maxwell kinetic term and non-negative mass-squared it is demonstrated that, under fairly general conditions during inflation, a scale-invariant spectrum of perturbations for the components of a vector field, massive or not, whose kinetic function (and mass) is modulated by the inflaton field is an attractor solution. If the field is massless, or if it remains light until the end of inflation, this attractor solution also generates anisotropic stress, which can render inflation weakly anisotropic. The above two characteristics of the attractor solution can source (independently or combined together) significant statistical anisotropy in the curvature perturbation, which may well be observable in the near future.

LaTex, 41 pages, 13 figures, corrected typos and added references

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Cited by in corpus (18)

• Anisotropic Power-law Inflation
• Anisotropic Inflation from Charged Scalar Fields
• Vector Coherent Oscillation Dark Matter
• Primordial Fluctuations from Inflation with a Triad of Background Gauge Fields
• Constraint on Vector Coherent Oscillation Dark Matter with Kinetic Function
• Inflationary Dynamics with a Non-Abelian Gauge Field
• Einstein Yang-Mills Higgs dark energy revisited
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Viable Vector Coherent Oscillation Dark Matter
• General quadrupolar statistical anisotropy: Planck limits
• Dynamical Analysis of Anisotropic Inflation
• Narrowing the window of inflationary magnetogenesis
• de Sitter symmetries and inflationary correlators in parity violating scalar-vector models
• Statistically anisotropic curvature perturbation generated during the waterfall
• D-branes and cosmic structure
• de Sitter symmetries and inflationary scalar-vector models
• On the coupling of vector fields to the Gauss-Bonnet invariant
• On Singularities in Cosmic Inflation