Deriving super-horizon curvature perturbations from the dynamics of preheating

Abstract

We present a framework for calculating super-horizon curvature perturbation from the dynamics of preheating, which gives a reasonable match to the lattice results. Hubble patches with different initial background field values evolve differently. From the bifurcation of their evolution trajectories we find curvature perturbation using Lyapunov theorem and $\delta N$ formulation. In this way we have established a connection between the finer dynamics of preheating and the curvature perturbation produced in this era. From the calculated analytical form of the curvature perturbation we have derived the effective super-horizon curvature perturbation smoothed out on large scales of CMB. The order of the amount of local form non-gaussianity generated in this process has been calculated and problems regarding the precise determination of it have been pointed out.

23 pages, 9 figures

References in corpus (11)

• Non-gaussianity from the second-order cosmological perturbation
• Non-Gaussianity from Preheating
• Non-Gaussian Spikes from Chaotic Billiards in Inflation Preheating
• Non-Gaussianity from Instant and Tachyonic Preheating
• Lattice calculation of non-Gaussianity from preheating
• Non-Gaussianity from massless preheating
• The Pursuit of Non-Gaussian Fluctuations in the Cosmic Microwave Background
• The curvature perturbation at second order
• Generating the primordial curvature perturbations in preheating
• Application of the Separate Universe Approach to Preheating
• A short note on the curvature perturbation at second order

Cited by in corpus (3)

• CMB constraints on the inflaton couplings and reheating temperature in $\alpha$-attractor inflation
• What can the CMB tell about the microphysics of cosmic reheating?
• Constraints on variations in inflaton decay rate from modulated preheating