Inflation and de Sitter Holography

TL;DR

This paper explores the connection between de Sitter holography and cosmic inflation, focusing on density perturbations and the impact of infrared effects on the inflationary spectrum.

Contribution

It introduces a Hamilton-Jacobi formalism to analyze logarithmic corrections to the inflationary power spectrum, linking holography with gravitational infrared effects.

Findings

Logarithmic corrections to the scale-invariant spectrum are systematically derived.

Infra-red effects in gravity can be interpreted independently of holography.

The formalism may shed light on fine-tuning issues in inflationary models.

Abstract

We develop the relation between de Sitter holography and inflation in detail, with particular attention to cosmic density perturbations. We set up the Hamilton-Jacobi formalism to present a systematic treatment of the logarithmic corrections to a scale invariant spectrum. Our computations can be interpreted without reference to holography, as strong infra-red effects in gravity. This point of view may be relevant for the fine-tuning problems inherent to inflation.