A Renormalizable and Unitary Approach to Quantum Gravity

TL;DR

This paper proposes a quantum gravity model using a Lagrange multiplier to ensure renormalizability and unitarity, aligning with Einstein's equations at the classical level.

Contribution

It introduces a novel approach that constrains quantum corrections, achieving a renormalizable and unitary quantum gravity theory consistent with classical general relativity.

Findings

Model is renormalizable at one-loop order.

Model maintains unitarity in quantum corrections.

Reproduces Einstein field equations in the classical limit.

Abstract

A Lagrange multiplier field restricts the quantum corrections to the Einstein-Hilbert action at one-loop order, yielding a model that is renormalizable and unitary while reproducing the Einstein field equations in the classical limit.