Basic properties of an alternative flow equation in gravity theories

TL;DR

This paper investigates an alternative flow equation in Quantum Gravity, demonstrating its gauge independence and insensitivity to the IR parameter on shell, which could impact the understanding of quantum gravitational dynamics.

Contribution

It introduces and analyzes an alternative flow equation for the effective two-particle irreducible effective action in Quantum Gravity, highlighting its gauge independence and IR parameter independence.

Findings

Flow equation is gauge independent.

Flow equation does not depend on IR parameter on shell.

Potential implications for quantum gravity calculations.

Abstract

Basic properties of alternative flow equation in Quantum Gravity are studied. It is shown that the alternative flow equation for effective two-particle irreducible effective action is gauge independent and does not depend on IR parameter $k$ on shell.