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

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Title: Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop.
Authors: Alfaro, J. Alejandro1 (AUTHOR), Gutiérrez-Guerrero, L. X.2,3 (AUTHOR) lxgutierrez@mctp.mx, Albino, Luis3,4,5 (AUTHOR), Raya, Alfredo3,6 (AUTHOR)
Source: Few-Body Systems. Dec2024, Vol. 65 Issue 4, p1-19. 19p.
Subjects: Perturbation theory, Gluons, Forecasting, Renormalization (Physics)
Abstract: In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimensions n = 4 - 2 ϵ 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. [ABSTRACT FROM AUTHOR]
Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: In this study, we present a perturbative analysis of the three-gluon vertex for a kinematical symmetric configuration in dimensions n = 4 - 2 ϵ 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. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Few-Body Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00601-024-01956-8
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      – Code: eng
        Text: English
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      – SubjectFull: Perturbation theory
        Type: general
      – SubjectFull: Gluons
        Type: general
      – SubjectFull: Forecasting
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      – SubjectFull: Renormalization (Physics)
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      – TitleFull: Perturbative Analysis of the Three Gluon Vertex in Different Gauges at One-Loop.
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            – D: 01
              M: 12
              Text: Dec2024
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              Y: 2024
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