Power Spectrum with Auxiliary Fields in de Sitter Space

Abstract

We use the auxiliary fields and (excited-) de Sitter solutions to study the standard power spectrum of primordial fluctuations of a scalar field in the early universe. The auxiliary fields are the negative norm solutions of the field equation and as it is shown, with a fixed boundary condition, utilizing these states results in a finite power spectrum without any infinity. The power spectrum is determined by the de Sitter solutions up to some corrections and the space-time symmetry is not broken in this point of view. The modulation to the power spectrum is of order $(\frac{H}{\Lambda }{)}^2$, where $H$ is the Hubble parameter and $\Lambda$ is the energy scale, e.g., Planck scale.

7 pages, Krein discussion and section 3 improved, To appear in European Physical Journal C

References in corpus (5)

• Cosmology and the Fate of Dilatation Symmetry
• Inflationary Cosmology
• On graviton non-Gaussianities during inflation
• QED effective action in Krein space quantization
• Spectrum of Gravitational Waves in Krein Space Quantization

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• Higher Order Corrections to Asymptotic-de Sitter Inflation
• A Covariant Approach for Particle Creation in Non-flat Background
• Large Angular Scale CMB Anisotropy from an Excited Initial Mode
• Scale-invariant power spectra from a Weyl-invariant scalar-tensor theory
• Inflation in Non-de Sitter Background with Coherent States
• Accelerating Universe in Terms of Hankel Function Index