Power Spectrum in Krein Space Quantization

TL;DR

This paper explores the calculation of the power spectrum of scalar and metric perturbations during cosmic inflation using Krein space quantization, an alternative approach involving auxiliary negative norm states that serve as an automatic renormalization mechanism.

Contribution

It introduces Krein space quantization to compute inflationary power spectra, offering a novel method that inherently handles renormalization through negative norm states.

Findings

Power spectrum derived using Krein space quantization.

Negative norm states act as automatic renormalization.

Method provides an alternative to traditional quantization approaches.

Abstract

The power spectrum of scalar field and space-time metric perturbations produced in the process of inflation of universe, have been presented in this paper by an alternative approach to field quantization namely, Krein space quantization [1,2]. Auxiliary negative norm states, the modes of which do not interact with the physical world, have been utilized in this method. Presence of negative norm states play the role of an automatic renormalization device for the theory.