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arXiv 2402.05262hep-phhep-th
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不同规范下一圈三胶子顶点的微扰分析

Perturbative analysis of the three gluon vertex in different gauges at one-loop

A. Alfaro, L. X. Gutiérrez Guerrero, L. Albino, A. Raya

AI总结:

本文用 MOM 方案和三种矢量基研究不同协变规范下一圈三胶子顶点,发现临界规范及主导形状因子零交叉,并与其他模型吻合。

摘要:

在本研究中,我们针对维数 n=4−2ε、运动学对称构型以及不同协变规范下的三胶子顶点给出了微扰分析。我们的研究能够描述很宽动量范围内三胶子顶点的形状因子。我们采用动量减除(MOM)方案来定义重整化顶点。我们深入评述了该顶点常用的三种矢量基,并明确给出了从一种基变换到另一种基的表达式。尽管我们的估计仅在微扰区域有效,但我们将数值预测扩展到红外区域,并表明在 n=4 时,某些非微扰性质在微扰论中已经定性呈现。特别地,我们发现存在一个临界规范,超过该规范时,主导形状因子会表现出所谓的零交叉。我们将所得结果与其他模型的结果进行对比,观察到相当好的一致性。

英文摘要:

In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimension $n=4-2ε$ and different covariant gauges.Our study can describe the form factors of the three gluon vertex in a wide range of momentum. We employ a momentum subtraction (MOM) scheme to define the renormalized vertex. We give an in-depth review of three commonly used vector basis for the vertex, and explicitly show the expressions to change from one basis to the other. Although our estimates are valid only in the perturbative regime, we extend our numerical predictions to the infrared domain and show that in $n=4$ some nonperturbative properties are qualitatively present already at perturbation theory. In particular, we find a critical gauge above which the leading form factor displays the so-called zero crossing. We contrast our findings to those of other models and observe a fairly good agreement.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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