Path Integral Quantization of Cosmological Perturbations

TL;DR

This paper develops a canonical Hamiltonian framework for quantizing cosmological perturbations with scalar fields, deriving the propagator for their evolution, which advances the understanding of quantum cosmology.

Contribution

It introduces a first-order canonical formulation and quantization method for cosmological perturbations with scalar fields, providing a new approach to quantum cosmology.

Findings

Derived the first-order canonical formulation of cosmological perturbations.

Quantized the theory using Hamiltonian path integral.

Calculated the propagator for the evolution of initial states.

Abstract

We derive the first order canonical formulation of cosmological perturbation theory in a Universe filled by a few scalar fields. This theory is quantized via well-defined Hamiltonian path integral. The propagator which describes the evolution of the initial (for instance, vacuum) state, is calculated.