Polarized initial states of primordial gravitational waves

TL;DR

This paper investigates the initial polarization states of primordial gravitational waves using $SU(2)$ coherent states, analyzing their impact on the power spectrum in the context of inflationary cosmology.

Contribution

It introduces a novel approach by constructing polarized initial states from $SU(2)$ coherent states and evaluates their effects on gravitational wave power spectra.

Findings

Polarized initial states can significantly influence the gravitational wave power spectrum.

$SU(2)$ coherent states provide a new framework for modeling initial polarization in inflation.

Results suggest potential observational signatures of initial polarization states.

Abstract

Polarizations of primordial gravitational waves can be relevant when considering inflationary universe in modified gravity or when matter fields survive during inflation. Such polarizations have been discussed in the Bunch-Davies vacuum. Instead of taking into account dynamical generation of polarizations of gravitational waves, in this paper, we consider polarized initial states constructed from $SU(2)$ coherent states. We then evaluate the power spectrums of the primordial gravitational waves in the states.