Inducing the Einstein action in QCD-like theories

TL;DR

This paper estimates the induced Newton's constant in QCD-like theories using lattice results, perturbation theory, and operator product expansion, suggesting a positive shift in the Planck mass that could inform quantum gravity models.

Contribution

It introduces a method to compute the induced Newton's constant in QCD-like theories, combining lattice data with theoretical tools, and explores implications for quantum gravity.

Findings

The induced Newton's constant is positive.

The shift in the Planck mass can be significant.

Potential relevance for quantum gravity theories.

Abstract

We evaluate the induced value of Newton's constant which would arise in QCD. The ingredients are modern lattice results, perturbation theory and the operator product expansion. The resulting shift in the Planck mass is positive. A scaled-up version of such a theory may be part of a quantum field theory treatment of gravity.