An Observation on the Beta Functions in Quadratic Gravity

TL;DR

This paper investigates the structure of beta functions in quadratic gravity, providing a simple argument to constrain their form and discussing their relation to recent findings in the field.

Contribution

It introduces a straightforward method to restrict the form of beta functions in quadratic gravity based on counterterm analysis at any loop order.

Findings

Beta functions can be constrained by a simple argument.

The relation to recent differing results on beta functions is clarified.

Provides insights into the structure of quantum corrections in quadratic gravity.

Abstract

We study the beta functions for the dimensionless couplings in quadratic curvature gravity, and find that there is a simple argument to restrict the possible form of the beta functions as derived from the counterterms at an arbitrary loop. The relation to the recent different results on beta functions is also commented on.