One-loop quantum cosmological correction to the gravitational constant in the closed Friedmann-Robertson-Walker universe

TL;DR

This paper calculates one-loop quantum corrections to the gravitational constant in a closed universe using zeta function regularization, suggesting these corrections could lead to a renormalized gravitational constant.

Contribution

It introduces a method to compute quantum cosmological corrections to the gravitational constant in a closed universe with shape-invariant potentials.

Findings

Quantum corrections are computed using zeta function regularization.

Corrections potentially lead to a renormalized gravitational constant.

The approach applies to kink-like quantum states in cosmology.

Abstract

In this paper, we calculate the one-loop quantum cosmological corrections to the kink energy in the closed Friedmann-Robertson-Walker universe in which the fluctuation potential $V^{\prime\prime}$ has a shape invariance property. We use the generalized zeta function regularization method to implement our setup for describing quantum kink-like states. It is conjectured that the corrections lead to the renormalized gravitational constant.