One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime

TL;DR

This paper calculates the quantum electrodynamic one-loop correction to gravitational potentials in de Sitter space, revealing a logarithmic running of Newton's constant and a secular suppression of the Newtonian potential for different observers.

Contribution

It provides the first explicit computation of photon loop effects on graviton self-energy in de Sitter space and their impact on gravitational potentials.

Findings

Logarithmic spatial running of Newton's constant for comoving observers

Secular suppression of Newtonian potential for static observers

Quantitative description of quantum corrections in de Sitter spacetime

Abstract

We compute the one-loop photon contribution to the graviton self-energy on a de Sitter background and use it to solve the linearized Einstein equation for a point mass. Our results show that a comoving observer sees a logarithmic spatial running Newton's constant. Equivalently, a static observer reports a secular suppression of the Newtonian potential.