Resummations for Inflationary Quantum Gravity

TL;DR

This paper reviews the effects of graviton production during inflation on quantum gravity calculations, and introduces a resummation method combining stochastic formalism with renormalization group techniques to handle secular growth.

Contribution

It presents a novel approach to resumming secular logarithms in inflationary quantum gravity using a combined stochastic and renormalization group method.

Findings

Secular logarithms grow large during prolonged inflation.

Resummation techniques can control nonperturbative effects.

Gauge independence of the results is discussed.

Abstract

The continual production of gravitons during inflation endows loop corrections with secular logarithms which grow nonperturbatively large during a prolonged period of inflation. The physics behind these effects is reviewed, along with a catalog of the examples which have so far been found. Resummation can be accomplished by combining a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. The issue of gauge independence is also addressed.