Feynman diagams coupled to three-dimensional quantum gravity

TL;DR

This paper introduces a framework that couples quantum field theory with three-dimensional quantum gravity, regulating Feynman diagrams and recovering standard amplitudes as the cosmological constant approaches zero.

Contribution

It presents a novel approach to integrate quantum gravity effects into quantum field theory using Feynman diagrams in three dimensions.

Findings

Quantum gravity regulates Feynman diagrams in 3D.

Standard Feynman amplitudes are recovered when the cosmological constant vanishes.

The framework provides a consistent coupling of quantum fields with 3D quantum gravity.

Abstract

A framework for quantum field theory coupled to three-dimensional quantum gravity is proposed. The coupling with quantum gravity regulates the Feynman diagrams. One recovers the usual Feynman amplitudes in the limit as the cosmological constant tends to zero.