Gravitational renormalization of quantum field theory

TL;DR

This paper introduces a non-perturbative approach to include gravity in quantum field theory by modifying propagators, resulting in finite loop calculations and addressing divergences at high momenta.

Contribution

It proposes a novel method to incorporate gravity into quantum field theory through propagator modification, ensuring finiteness of loop processes.

Findings

Modified propagator shows suppression at high momentum

Results in finite loop calculations for processes with two virtual particles

Demonstrates potential for a non-perturbative quantum gravity framework

Abstract

We propose to include gravity in quantum field theory non-perturbatively, by modifying the propagators so that each virtual particle in a Feynman graph move in the space-time determined by the four-momenta of the other particles in the same graph. By making additional working assumptions, we are able to put this idea at work in a simplified context, and obtain a modified Feynman propagator for the massless neutral scalar field. Our expression shows a suppression at high momentum, strong enough to entail finite results, to all loop orders, for processes involving at least two virtual particles.