On the analytically-improved running coupling in QCD.
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| Title: | On the analytically-improved running coupling in QCD. |
|---|---|
| Authors: | Brandt, F. T.1 (AUTHOR) fbrandt@usp.br, Frenkel, J.1 (AUTHOR) jfrenkel@if.usp.br, McKeon, D. G. C.2,3 (AUTHOR) dgmckeo2@uwo.ca, Sakoda, G. S. S.1 (AUTHOR) gustavo.sakoda@usp.br |
| Source: | Modern Physics Letters A. 5/20/2022, Vol. 37 Issue 15, p1-13. 13p. |
| Subjects: | Quantum chromodynamics, Gauge field theory, Integral representations, Renormalization group, Dispersion relations |
| Abstract: | In this paper, we examine, in the 't Hooft renormalization scheme, the analytic running coupling α ̄ t (Q 2) in QCD, using the two-loop β -function with positive expansion parameters β 0 and β 1 . An exact integral representation is derived for this causal coupling, which is fully expressed in terms of the imaginary part of the Lambert function W. This integral form manifestly accounts for the universal value of the infrared limit α ̄ t (Q 2 = 0) = 4 π / β 0 . [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company 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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 157773639 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the analytically-improved running coupling in QCD. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Brandt%2C+F%2E+T%2E%22">Brandt, F. T.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> fbrandt@usp.br</i><br /><searchLink fieldCode="AR" term="%22Frenkel%2C+J%2E%22">Frenkel, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jfrenkel@if.usp.br</i><br /><searchLink fieldCode="AR" term="%22McKeon%2C+D%2E+G%2E+C%2E%22">McKeon, D. G. C.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> dgmckeo2@uwo.ca</i><br /><searchLink fieldCode="AR" term="%22Sakoda%2C+G%2E+S%2E+S%2E%22">Sakoda, G. S. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gustavo.sakoda@usp.br</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+A%22">Modern Physics Letters A</searchLink>. 5/20/2022, Vol. 37 Issue 15, p1-13. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+chromodynamics%22">Quantum chromodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Gauge+field+theory%22">Gauge field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+representations%22">Integral representations</searchLink><br /><searchLink fieldCode="DE" term="%22Renormalization+group%22">Renormalization group</searchLink><br /><searchLink fieldCode="DE" term="%22Dispersion+relations%22">Dispersion relations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we examine, in the 't Hooft renormalization scheme, the analytic running coupling α ̄ t (Q 2) in QCD, using the two-loop β -function with positive expansion parameters β 0 and β 1 . An exact integral representation is derived for this causal coupling, which is fully expressed in terms of the imaginary part of the Lambert function W. This integral form manifestly accounts for the universal value of the infrared limit α ̄ t (Q 2 = 0) = 4 π / β 0 . [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217732322500924 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1 Subjects: – SubjectFull: Quantum chromodynamics Type: general – SubjectFull: Gauge field theory Type: general – SubjectFull: Integral representations Type: general – SubjectFull: Renormalization group Type: general – SubjectFull: Dispersion relations Type: general Titles: – TitleFull: On the analytically-improved running coupling in QCD. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Brandt, F. T. – PersonEntity: Name: NameFull: Frenkel, J. – PersonEntity: Name: NameFull: McKeon, D. G. C. – PersonEntity: Name: NameFull: Sakoda, G. S. S. IsPartOfRelationships: – BibEntity: Dates: – D: 20 M: 05 Text: 5/20/2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 02177323 Numbering: – Type: volume Value: 37 – Type: issue Value: 15 Titles: – TitleFull: Modern Physics Letters A Type: main |
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