Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-09-23 DOI:10.1007/s00601-024-01956-8

J. Alejandro Alfaro, L. X. Gutiérrez-Guerrero, Luis Albino, Alfredo Raya

引用次数: 0

Abstract

In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimensions \(n=4-2\epsilon \) 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 scheme to define the renormalized vertex. We give an in-depth review of three commonly used vector representations for the vertex, and explicitly show the expressions to change from one representation 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.

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一环不同量规下三胶子顶点的惯性分析

在这项研究中，我们提出了对\(n=4-2\epsilon \)维数和不同协变规的运动对称构型的三胶子顶点的微扰分析。我们的研究可以描述三胶子顶点在很宽的动量范围内的形式因子。我们采用动量减法方案来定义重正化顶点。我们深入评述了顶点的三种常用矢量表示，并明确展示了从一种表示到另一种表示的表达式变化。尽管我们的估计仅在微扰机制中有效，但我们将数值预测扩展到了红外领域，并表明在（n=4\ ）中，一些非微扰性质在微扰理论中就已经定性地存在了。特别是，我们发现了一个临界量规，在该量规之上，前导形式因子显示出所谓的零交叉。我们将我们的发现与其他模型的发现进行对比，观察到了相当好的一致性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).