https://doi.org/10.1140/epjc/s10052-024-13280-w
Regular Article - Theoretical Physics
Deriving the QCD evolution equations under the Abelian decomposition scheme
1
Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
2
School of Physics, Peking University, 100871, Beijing, China
3
School of Nuclear Science and Technology, University of Chinese Academy of Sciences, 100049, Beijing, China
4
Lanzhou University, 730000, Lanzhou, China
5
Guizhou Key Laboratory in Physics and Related Areas, Guizhou University of Finance and Economics, 550025, Guiyang, China
6
Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, 516000, Huizhou, China
d
yanbingcai@mail.gufe.edu.cn
e
xchen@impcas.ac.cn
Received:
22
June
2024
Accepted:
20
August
2024
Published online:
12
September
2024
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 , 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.
Yirui Yang and Wei Kou contributed equally.
© The Author(s) 2024
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