Gravity in Causal Perturbative Quantum Field Theory

TL;DR

This paper extends perturbative quantum field theory to include gravity, demonstrating that gauge invariance constrains renormalizations and suggesting the model's renormalizability at second order.

Contribution

It develops a framework for applying perturbative QFT to gravity and analyzes anomaly elimination and renormalization constraints.

Findings

Gauge invariance restricts finite renormalizations.

The model is shown to be renormalizable at second order.

Anomaly elimination procedures are adapted for gravity.

Abstract

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory. After that we prove that gauge invariance restricts severely the possible finite renormalizations, so at least in the second order of the perturbation theory, the model is renormalizable.