Power Spectrum with Auxiliary Fields in de Sitter Space

TL;DR

This paper introduces a method using auxiliary fields and de Sitter solutions to compute a finite, symmetry-preserving power spectrum of primordial fluctuations, with corrections depending on the ratio of the Hubble parameter to the energy scale.

Contribution

It presents a novel approach employing auxiliary fields to obtain a finite primordial power spectrum without breaking space-time symmetry.

Findings

Finite power spectrum achieved with auxiliary fields.

Modulation of order (H/Λ)^2 in the power spectrum.

No symmetry breaking in the proposed framework.

Abstract

We use the auxiliary fields and (excited-) de Sitter solutions to study the standard power spectrum of primordial fluctuations of a scalar field in the early universe. The auxiliary fields are the negative norm solutions of the field equation and as it is shown, with a fixed boundary condition, utilizing these states results in a finite power spectrum without any infinity. The power spectrum is determined by the de Sitter solutions up to some corrections and the space-time symmetry is not broken in this point of view. The modulation to the power spectrum is of order $ (\frac{H}{\Lambda})^{2} $, where $ H $ is the Hubble parameter and $ \Lambda $ is the energy scale, e.g., Planck scale.