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.