Spectrum of Gravitational Waves in Krein Space Quantization

TL;DR

This paper derives the primordial power spectrum of scalar and tensor perturbations during inflation using Krein space quantization, offering an alternative to standard methods.

Contribution

It introduces Krein space quantization to compute the primordial power spectrum, providing new formulas for gravitational waves during inflation.

Findings

Derived formulas for gravitational waves in Krein space

Applicable to power law and slow roll inflation

Offers an alternative quantization approach

Abstract

The main goal of this paper is to derive the primordial power spectrum for the scalar perturbations generated as a result of quantum fluctuations during an inflationary pe- riod by an alternative approach of field quantization[1-3]. Formulas are derived for the gravitational waves, special cases of which include power law inflation and inflation in the slow roll approximation, in Krein space quantization.