Spacetime correlators of perturbations in slow-roll de Sitter inflation

Abstract

Two-point correlators and self-correlators of primordial perturbations in quasi-de Sitter spacetime backgrounds are considered. For large separations two-point correlators exhibit nearly scale invariance, while for short distances self-correlators need standard renormalization. We study the deformation of two-point correlators to smoothly match the self-correlators at coincidence. The corresponding angular power spectrum is evaluated in the Sachs-Wolfe regime of low multipoles. Scale invariance is maintained, but the amplitude of $C_{\ell }$ could change in a non-trivial way.

Clarifying comments and new references added. Misprints corrected

References in corpus (3)

• Adiabatic regularization and particle creation for spin one-half fields
• Amplitude of Perturbations from Inflation
• The Impact of Ultraviolet Regularization on the Spectrum of Curvature Perturbations During Inflation

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• Quantization of Yang-Mills Theory in de Sitter Spacetime
• On the renormalization of ultraviolet divergences in the inflationary angular power spectrum