Effective Field Theory of pure Gravity and the Renormalization Group

TL;DR

This paper explores the renormalization group equations in the low energy effective field theory of pure gravity, revealing simplified solutions and a minimal parameter model when the energy scale is much lower than the Planck mass.

Contribution

It provides a detailed structure of the renormalization group equations for pure gravity and derives simplified solutions under certain scale assumptions, introducing a minimal parameter effective theory.

Findings

Simplified form of RG equations for low energy gravity

Existence of a minimal parameter effective theory

Compatibility with renormalization at scales below Planck mass

Abstract

The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the effective theory is much smaller than the Planck mass (a possibility compatible with the renormalization of the effective theory). A theory with just one free renormalized parameter is obtained when contributions suppressed by inverse powers of the Planck mass are neglected.