Can a chaotic solution in the QCD evolution equation restrain high-energy collider physics?

Abstract

We indicate that the random aperiodic oscillation of the gluon distributions in a modified Balisky--Fadin--Kuraev--Lipatov (BFKL) equation has positive Lyapunov exponents. This first example of chaos in QCD evolution equations, raises the sudden disappearance of the gluon distributions at a critical small value of the Bjorken variable $x$ and may stop the increase of the new particle events in an ultra high energy hadron collider.

13 pages, 5 figures, version to appear in Chin. Phys. Lett

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• Gluon Condensation Signature in the GeV Gamma-Ray Spectra of Pulsars
• Explaining muon excess in cosmic rays using the gluon condensation model
• The current recorded signals of ultrahigh-energy $\gamma$-rays may come from EeVatrons in the galaxy
• Research on electron and positron spectrum in the high-energy region based on the gluon condensation model
• The gluon condensation effect in the cosmic hadron spectra
• Warning: The mini gamma-ray-bursts in planning hadron colliders beyond the LHC energies