On the self-consistency of off-shell Slavnov-Taylor identities in QCD

Gracey, JA ORCID: 0000-0002-9101-2853, Kissler, H and Kreimer, D
(2019) On the self-consistency of off-shell Slavnov-Taylor identities in QCD. Physical Review D: Particles, Fields, Gravitation and Cosmology, 100 (3). 085001-.

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Using Hopf-algebraic structures as well as diagrammatic techniques for determining the Slavnov-Taylor identities for QCD we construct the relations for the triple and quartic gluon vertices at one loop. By making the longitudinal projection on an external gluon of a Green’s function we show that the gluon self-energy of that leg is consistently replaced by a ghost self-energy. The resulting identities are then studied by evaluating all the graphs for an off-shell nonexceptional momentum configuration. In the case of the 3-point function this is for the most general momentum case and for the 4-point function we consider the fully symmetric point.

Item Type: Article
Additional Information: 48 latex pages, 8 figures, 6 tables, anc directory contains txt file with electronic version of amplitudes and projection matrices, minor text changes and extra references added
Uncontrolled Keywords: Research Areas Non-Abelian gauge theories, Perturbation theory, Renormalization
Depositing User: Symplectic Admin
Date Deposited: 27 Aug 2019 08:52
Last Modified: 19 Jan 2023 00:39
DOI: 10.1103/PhysRevD.100.085001
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3047247