Evolution of the Universe caused by the averaged potential of the quantum scalar field

TL;DR

This paper investigates how the quantum scalar field's averaged potential influences the evolution of the universe, combining quantum field treatment with classical cosmological dynamics.

Contribution

It introduces a novel approach by quantizing the scalar field while treating the scale factor classically, and evaluates the impact of the quantum averaged potential on cosmic evolution.

Findings

Quantum averaging of the potential modifies the Hubble parameter equation.

The approach bridges quantum field theory and classical cosmology.

Results suggest quantum effects can significantly influence universe dynamics.

Abstract

We study the quantum theory of the singular scalar field $\varphi $ minimally coupled to gravity. In our approach, the scalar field is treated as a true quantum variable, while the scale factor $a(t)$ is supposed to be classical. We evaluate the quantum average of the self-interaction potential $V(\varphi)$ and use it in the modified differential equation for the Hubble parameter.