Perturbative Constraints on the Slavnov-Taylor Identity for the Ghost-Gluon Vertex in QCD

TL;DR

This paper compares a recent Slavnov-Taylor identity for the ghost-gluon vertex in QCD with perturbative results, finds inconsistencies, and derives a new identity at the one-loop level to improve theoretical understanding.

Contribution

The paper identifies inconsistencies in a recent Slavnov-Taylor identity and derives a new one-loop perturbative identity for the ghost-gluon vertex in QCD.

Findings

The recent identity is not consistent with perturbation theory.

A new one-loop identity is derived for the ghost-gluon vertex.

The study clarifies the constraints on ghost-gluon interactions in QCD.

Abstract

A recent form of the Slavnov-Taylor identity for the ghost-gluon vertex of QCD is compared with perturbative results. It is found that this identity, derived assuming ghost-ghost scattering can be neglected, is not consistent with perturbation theory. A new identity is derived at the one-loop perturbative level.