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

J.?A. Gracey; H. Ki?ler; D. Kreimer

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

机译：QCD中脱壳Slavnov-Taylor身份的自洽性

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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.

机译：使用Hopf代数结构以及用于确定QCD的Slavnov-Taylor恒等式的图解技术，我们可以在一圈构造三重和四次胶子顶点的关系。通过在格林函数的外部胶子上进行纵向投影，我们表明该腿的胶子自能始终被幻影自能代替。然后，通过评估壳外非异常动量配置的所有图来研究所得身份。对于三点函数，这是最一般的动量情况，对于四点函数，我们考虑完全对称的点。

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《Physical review, D》 |2019年第8期|共40页
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J.?A. Gracey; H. Ki?ler; D. Kreimer;
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1. Self-consistency of off-shell Slavnov-Taylor identities in QCD [J] . J. A. Gracey, H. Ki?ler, D. Kreimer Physical review, D . 2019,第8aPta2期

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2. A Slavnov-Taylor identity and equality of damping rates for static transverse and longitudinal gluons in hot QCD [J] . M. Dirks, A. Niegawa, K. Okano Physics Letters, B. Nuclear Physics and High Energy Physics . 1999,第1a2期

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3. Self-consistency in Bicultural Persons: Dialectical Self-beliefs Mediate the Relation between Identity Integration and Self-consistency [J] . Rui Zhang, Kimberly A. Noels, Richard N. Lalonde, Frontiers in Psychology . 2017,第1期

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4. Non-trivial Backgrounds in (non-perturbative) Yang-Mills Theory by the Slavnov-Taylor Identity [C] . A Quadri International Conference on Quantum Theory and Symmetries . 2011

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

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