Self-consistency of off-shell Slavnov-Taylor identities in QCD

被引：13

作者：

Gracey, J. A. ^{[1
]}

Kissler, H. ^{[2
]}

Kreimer, D. ^{[2
]}

机构：

[1] Univ Liverpool, Dept Math Sci, Theoret Phys Div, POB 147, Liverpool L69 3BX, Merseyside, England

[2] Humboldt Univ, Dept Math, Rudower Chaussee 25, D-12489 Berlin, Germany

来源：

PHYSICAL REVIEW D | 2019年 / 100卷 / 08期

关键词：

QUANTUM-CHROMODYNAMICS; INFRARED BEHAVIOR; GAUGE-INVARIANCE; RENORMALIZATION; CONFINEMENT; VERTEX; DEPENDENCE; TOPOLOGY;

D O I：

10.1103/PhysRevD.100.085001

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：40

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