Self-consistency of off-shell Slavnov-Taylor identities in QCD
| Autor: | John A. Gracey, H. Kißler, Dirk Kreimer |
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| Rok vydání: | 2019 |
| Předmět: |
Quantum chromodynamics
Physics 010308 nuclear & particles physics High Energy Physics::Lattice Function (mathematics) 01 natural sciences Projection (linear algebra) Gluon Loop (topology) Momentum Diagrammatic reasoning Quartic function 0103 physical sciences 010306 general physics Mathematical physics |
| Zdroj: | Physical Review |
| ISSN: | 2470-0029 2470-0010 |
| DOI: | 10.1103/physrevd.100.085001 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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