Primordial polymer perturbations

TL;DR

This paper investigates how polymer quantization affects primordial fluctuations during de Sitter inflation, revealing potential observable signatures in baryon acoustic oscillations but not in CMB spectra.

Contribution

It introduces a novel application of polymer quantization to inflationary fluctuations, showing modifications to the primordial spectrum at small scales.

Findings

Standard scale-invariant spectrum recovered for large wavelengths

Oscillations appear in the spectrum at small wavelengths due to polymer effects

Polymer effects are likely unobservable in CMB but may be constrained by baryon acoustic oscillations

Abstract

We study the generation of primordial fluctuations in pure de Sitter inflation where the quantum scalar field dynamics are governed by polymer (not Schrodinger) quantization. This quantization scheme is related to, but distinct from, the structures employed in Loop Quantum Gravity; and it modifies standard results above a polymer energy scale $M_{\star}$. We recover the scale invariant Harrison Zel'dovich spectrum for modes that have wavelengths bigger than $M_{\star}^{-1}$ at the start of inflation. The primordial spectrum for modes with initial wavelengths smaller than $M_{\star}^{-1}$ exhibits oscillations superimposed on the standard result. The amplitude of these oscillations is proportional to the ratio of the inflationary Hubble parameter $H$ to the polymer energy scale. For reasonable choices of $M_{\star}$, we find that polymer effects are likely unobservable in CMB angular power spectra due to cosmic variance uncertainty, but future probes of baryon acoustic oscillations may be able to directly constrain the ratio $H/M_{\star}$.