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arxiv: 1401.6912 · v2 · submitted 2014-01-27 · 🌀 gr-qc · astro-ph.CO· hep-th

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Spacetime correlators of perturbations in slow-roll de Sitter inflation

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classification 🌀 gr-qc astro-ph.COhep-th
keywords correlatorsself-correlatorstwo-pointinvarianceperturbationsscalesitterspacetime
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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.

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