Ultraviolet properties of f(R)-Gravity

TL;DR

This paper investigates the ultraviolet behavior of f(R)-gravity with polynomial functions up to sixth order, identifying a fixed point that supports the nonperturbative renormalizability of gravity.

Contribution

It analyzes a seven-parameter class of f(R)-gravity theories to find a nontrivial fixed point with specific ultraviolet properties, advancing the asymptotic safety program.

Findings

Identified a fixed point with three UV-attractive directions.

Found four UV-repulsive directions in the theory.

Supports the hypothesis of gravity's nonperturbative renormalizability.

Abstract

We discuss the existence and properties of a nontrivial fixed point in f(R)-gravity, where f is a polynomial of order up to six. Within this seven-parameter class of theories, the fixed point has three ultraviolet-attractive and four ultraviolet-repulsive directions; this brings further support to the hypothesis that gravity is nonperturbatively renormalizabile.