Further Evidence for a Gravitational Fixed Point

TL;DR

This paper provides evidence for a gravitational fixed point in a theory with matter fields, showing nonzero cosmological and Newton constants, asymptotically free curvature terms, and the irrelevance of higher order terms in the UV regime.

Contribution

It demonstrates the existence of a nontrivial gravitational fixed point with specific properties in a large N matter-coupled gravity theory.

Findings

Nonzero cosmological and Newton constants at the fixed point

Curvature squared terms are asymptotically free

Higher order terms are irrelevant and can be neglected

Abstract

A theory of gravity with a generic action functional and minimally coupled to N matter fields has a nontrivial fixed point in the leading large N approximation. At this fixed point, the cosmological constant and Newton's constant are nonzero and UV relevant; the curvature squared terms are asymptotically free with marginal behaviour; all higher order terms are irrelevant and can be set to zero by a suitable choice of cutoff function.