de Sitter limit of inflation and nonlinear perturbation theory

Abstract

We study the fourth order action of the comoving curvature perturbation in an inflationary universe in order to understand more systematically the de Sitter limit in nonlinear cosmological perturbation theory. We derive the action of the curvature perturbation to fourth order in the comoving gauge, and show that it vanishes sufficiently fast in the de Sitter limit. By studying the de Sitter limit, we then extrapolate to the n'th order action of the comoving curvature perturbation and discuss the slow-roll order of the n-point correlation function.

arXiv comment14 pages, 1 figure; typos corrected and discussion of tensor modes added

References in corpus (18)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• The Dynamics of General Relativity
• Non-Gaussianity from Inflation: Theory and Observations
• Quantum Contributions to Cosmological Correlations
• Second-Order Cosmological Perturbations from Inflation
• Primordial non-gaussianities in single field inflation
• Perturbations of spacetime: gauge transformations and gauge invariance at second order and beyond
• Primordial non-gaussianities from multiple-field inflation
• Quantum Contributions to Cosmological Correlations II: Can These Corrections Become Large?
• On non-gaussianities in single-field inflation
• On the one loop corrections to inflation and the CMB anisotropies
• One-loop corrections to the curvature perturbation from inflation
• On the One Loop Corrections to Inflation II: The Consistency Relation
• Nonlinear perturbations of cosmological scalar fields
• How robust are inflation model and dark matter constraints from cosmological data?
• A new diagrammatic representation for correlation functions in the in-in formalism
• Covariant generalization of cosmological perturbation theory

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