Deriving the QCD evolution equations under the Abelian decomposition scheme
Abstract The Abelian decomposition of QCD reveals two types of gluons: color-neutral “neurons” and color-carrying “chromons”. This classification does not alter the overall properties of QCD, but the investigation of different types of gluon dynamics is necessary. By employing the Cho–Duan–Ge decomp...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-09-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13280-w |
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| author | Yirui Yang Wei Kou Xiaopeng Wang Yanbing Cai Xurong Chen |
| author_facet | Yirui Yang Wei Kou Xiaopeng Wang Yanbing Cai Xurong Chen |
| author_sort | Yirui Yang |
| collection | DOAJ |
| description | Abstract The Abelian decomposition of QCD reveals two types of gluons: color-neutral “neurons” and color-carrying “chromons”. This classification does not alter the overall properties of QCD, but the investigation of different types of gluon dynamics is necessary. By employing the Cho–Duan–Ge decomposition theorem, we have derived dynamic evolution equations for two types of gluons by using the time-ordered perturbation theory. We propose that the new equations are compatible with the DGLAP equations, requiring only the separate contributions of neurons and chromons to be summed. Surprisingly, with the evolution to high $$Q^2$$ Q 2 , the ratio of the number of chromons to neurons is approximately 3:1 in small-x region regardless of the inputs at evolution starting point. The new gluon dynamic equations reevaluate the gluon distribution functions and allow for a elaborate investigation of the distinct contributions of gluons in high-energy collisions. |
| format | Article |
| id | doaj-art-eaf634d16a834a789c64cdf586da457e |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-eaf634d16a834a789c64cdf586da457e2024-11-17T12:44:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-09-0184911110.1140/epjc/s10052-024-13280-wDeriving the QCD evolution equations under the Abelian decomposition schemeYirui Yang0Wei Kou1Xiaopeng Wang2Yanbing Cai3Xurong Chen4Institute of Modern Physics, Chinese Academy of SciencesInstitute of Modern Physics, Chinese Academy of SciencesInstitute of Modern Physics, Chinese Academy of SciencesGuizhou Key Laboratory in Physics and Related Areas, Guizhou University of Finance and EconomicsInstitute of Modern Physics, Chinese Academy of SciencesAbstract The Abelian decomposition of QCD reveals two types of gluons: color-neutral “neurons” and color-carrying “chromons”. This classification does not alter the overall properties of QCD, but the investigation of different types of gluon dynamics is necessary. By employing the Cho–Duan–Ge decomposition theorem, we have derived dynamic evolution equations for two types of gluons by using the time-ordered perturbation theory. We propose that the new equations are compatible with the DGLAP equations, requiring only the separate contributions of neurons and chromons to be summed. Surprisingly, with the evolution to high $$Q^2$$ Q 2 , the ratio of the number of chromons to neurons is approximately 3:1 in small-x region regardless of the inputs at evolution starting point. The new gluon dynamic equations reevaluate the gluon distribution functions and allow for a elaborate investigation of the distinct contributions of gluons in high-energy collisions.https://doi.org/10.1140/epjc/s10052-024-13280-w |
| spellingShingle | Yirui Yang Wei Kou Xiaopeng Wang Yanbing Cai Xurong Chen Deriving the QCD evolution equations under the Abelian decomposition scheme European Physical Journal C: Particles and Fields |
| title | Deriving the QCD evolution equations under the Abelian decomposition scheme |
| title_full | Deriving the QCD evolution equations under the Abelian decomposition scheme |
| title_fullStr | Deriving the QCD evolution equations under the Abelian decomposition scheme |
| title_full_unstemmed | Deriving the QCD evolution equations under the Abelian decomposition scheme |
| title_short | Deriving the QCD evolution equations under the Abelian decomposition scheme |
| title_sort | deriving the qcd evolution equations under the abelian decomposition scheme |
| url | https://doi.org/10.1140/epjc/s10052-024-13280-w |
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