The S-matrix and graviton self-energy in quantum Yang-Mills gravity

TL;DR

This paper investigates the properties of the S-matrix and graviton self-energy at one-loop level within quantum Yang-Mills gravity, demonstrating gauge invariance and calculating divergences using dimensional regularization.

Contribution

It introduces FDM ghosts to preserve unitarity and gauge invariance in quantum Yang-Mills gravity and explicitly computes the graviton self-energy divergences.

Findings

Unitarity and gauge invariance maintained by FDM ghosts.

Explicit calculation of graviton self-energy divergences.

Divergence structure similar to quantum electrodynamics.

Abstract

The S-matrix, its unitarity and the graviton self-energy at the one-loop level are discussed on the basis of quantum Yang-Mills gravity with the translational gauge symmetry in flat space-time. The unitarity and gauge invariance of the S-matrix in a class of gauge conditions is preserved by massless ghost vector particles, called `Feynman-DeWitt-Mandelstam' (FDM) ghosts, in quantum Yang-Mills gravity. Using dimensional regularization, the graviton self-energy are explicitly calculated with a general gauge condition. The resultant divergence of graviton self-energy at the one-loop level resembles to that in quantum electrodynamics.