# On the cutoff identification and the quantum improvement in asymptotically safe gravity

## TL;DR

This paper explores a new method for cutoff identification in asymptotically safe gravity using curvature invariants, revealing that cutoff choice and improvement steps are interconnected and affect the resulting field equations.

## Contribution

It introduces a novel approach to cutoff identification that preserves covariance and demonstrates the correlation between cutoff choice and the improvement process in quantum gravity.

## Key findings

- Different cutoff identification methods lead to distinct field equations.
- The proposed approach affects nonvacuum solutions of the Einstein equations.
- Cutoff identification and improvement steps are inherently linked.

## Abstract

Applying the exact renormalization group method to search the nonGaussian fixed points of gravitational coupling, is frequently followed by two steps: cutoff identification and improvement. Although there are various models for identifying the cutoff momentum by some physical length, saving the general covariance should be considered as an important property in the procedure. In this paper, use of an arbitrary function of curvature invariants for cutoff identification is suggested. It is shown that the field equations for this approach differs from the ones obtained from the conventional cutoff identification and improvement, even for nonvacuum solutions of the improved Einstein equations. Indeed, it is concluded that these two steps are correlated to each other.