The S-matrix and ghost fields in quantum Yang-Mills gravity

TL;DR

This paper investigates the S-matrix in quantum Yang-Mills gravity with translation gauge symmetry, deriving the generating functional and demonstrating unitarity and gauge invariance through ghost fields.

Contribution

It provides a formulation of the S-matrix and Green's functions in quantum Yang-Mills gravity, highlighting the role of ghost fields in preserving unitarity and gauge invariance.

Findings

Derived the generating functional of Green's functions for Yang-Mills gravity

Showed unitarity and gauge invariance are maintained by ghost vector fields

Confirmed the consistency of the S-matrix in this framework

Abstract

The S-matrix in quantum Yang-Mills gravity with translation gauge symmetry in flat space-time is investigated. We obtain the generating functional of Green's functions, i.e., the vacuum-to-vacuum amplitude, for Yang-Mills gravity. The unitarity and gauge invariance of the S-matrix in a class of gauge conditions is preserved by massless ghost vector fields.