Ghosts and Stability of Asymptotical Safe Gravity in the Minkowski Background

TL;DR

This paper examines the ghost and stability issues in asymptotically safe gravity within Minkowski space, demonstrating that with proper constraints, the theory remains ghost-free and stable at one-loop level.

Contribution

It provides explicit constraints on coupling parameters ensuring ghost-freedom and stability in asymptotically safe gravity, extending to higher-order corrections.

Findings

The theory is ghost-free at one-loop with proper constraints.

The theory remains stable under the applied conditions.

Results are applicable to higher-order corrections.

Abstract

We investigate the problems of ghosts and stability in the framework of asymptotical safe theory of gravity in the Minkowski background. Within one loop corrections, we obtain explicitly the constraints on the coupling parameters. Applying them to the coupling constant recently-obtained at the fixed point, we find that the corresponding theory is both ghost-free and stable. Our results can be easily generalized to high order corrections.