The chaotic effects in a nonlinear QCD evolution equation

Abstract

The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR-MQ-ZRS equation and a new evolution equation. Using the available saturation models as input, we find that the new evolution equation has the chaos solution with positive Lyaponov exponents in the perturbative range. We predict a new kind of shadowing caused by chaos, which blocks the QCD evolution in a critical small $x$ range. The blocking effect in the evolution equation may explain the Abelian gluon assumption and even influence our expectations to the projected Large Hadron Electron Collider (LHeC), Very Large Hadron Collider (VLHC) and the upgrade (CppC) in a circular $e^{+}{e}^{-}$ collider (SppC).

58 pages, 23 figures,. Final version to appear in NPB

References in corpus (3)

• Can a chaotic solution in the QCD evolution equation restrain high-energy collider physics?
• BFKL equation for an integrated gluon density
• Electron-Ion Physics with the LHeC

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