Asymptotic Regimes in Quantum Gravity at Large Distances and Running Newtonian and Cosmological Constants

TL;DR

This paper investigates the behavior of Newtonian and cosmological constants at large distances in quantum gravity, revealing asymptotic regimes that could impact cosmological constant issues and gravitational potential corrections.

Contribution

It introduces a renormalizable higher-derivative scalar theory as an effective model for infrared quantum gravity and derives the asymptotic regimes of key constants.

Findings

Identifies asymptotically free infrared regime for gravitational constants.

Provides potential insights into the cosmological constant problem.

Estimates leading-log corrections to gravitational potential.

Abstract

We consider a multiplicatively renormalizable higher-derivative scalar theory which is used as an effective theory for quantum gravity at large distances (infrared phase of quantum gravity). The asymptotic regimes (in particular, the asymptotically free infrared regime) for the coupling constants ---specifically the Newtonian and the cosmological constant--- are obtained. The running of the Newton and cosmological constants in the infrared asymptotically free regime may be relevant for solving the cosmological constant problem and for estimating the leading-log corrections to the static gravitational potential.