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

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