Deriving the QCD evolution equations under the Abelian decomposition scheme
arxiv(2024)
摘要
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, 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 inverstigation of the distinct
contributions of gluons in high-energy collisions.
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