The UV behavior of Gravity at Large N

TL;DR

This paper explores the renormalizability of gravity at large N by resumming planar diagrams, resulting in a theory with finitely many divergent diagrams, similar to the 3D Gross-Neveu model, and discusses related theoretical challenges.

Contribution

It introduces a resummation approach for gravity at large N that reduces the number of divergent diagrams, advancing the understanding of its potential renormalizability.

Findings

Resummation of planar diagrams leads to finitely many divergent diagrams.

The mechanism resembles that of the 3D Gross-Neveu model at large N.

Potential issues with Slavnov-Taylor and Zinn-Justin equations are identified.

Abstract

A first step in the analysis of the renormalizability of gravity at Large N is carried on. Suitable resummations of planar diagrams give rise to a theory in which there is only a finite number of primitive superficially divergent Feynman diagrams. The mechanism is similar to the the one which makes renormalizable the 3D Gross-Neveu model at large N. Some potential problems in fulfilling the Slavnov-Taylor and the Zinn-Justin equations are also pointed out.