Particle Creation and Excited-de Sitter Modes

TL;DR

This paper investigates particle creation during inflation using exited-de Sitter modes within Krein space quantization, demonstrating consistency with standard results in de Sitter and Minkowski limits.

Contribution

It introduces exited-de Sitter modes as initial states for inflation, providing finite power spectra and manifest space-time symmetry, extending previous methods.

Findings

Particle creation results match standard predictions in de Sitter and Minkowski limits.

Exited-de Sitter modes yield finite power spectra and non-linear trans-Planckian corrections.

The approach maintains space-time symmetry and aligns with conventional methods in specific limits.

Abstract

Recently, in Ref.\cite{moh1}, we introduced exited-de Sitter modes to study the power spectrum which was finite in Krein space quantization and the trans-Plankian corrections due to the exited modes were non-linear. It was shown that the de Sitter limit of corrections reduces to what obtained via the several previous conventional methods, moreover, with such modes the space-time symmetry becomes manifest. In this paper, inspired by Krein method and using exited-de Sitter modes as the fundamental initial states during the inflation, we calculate particle creation in the spatially flat Robertson-Walker space-time. It is shown that in de Sitter and Minkowski space-time in the far past time limit, our results coincides to the standard results.