Can a chaos term in the QCD evolution equation restrain high-energy collider physics?

TL;DR

This paper demonstrates that chaos in the QCD evolution, caused by oscillations in gluon distributions, can lead to a sudden drop in gluon density at small x, potentially impacting high-energy collider physics.

Contribution

It introduces the first example of chaos in QCD evolution equations, linking chaotic dynamics to gluon distribution behavior at small x.

Findings

Chaos in QCD evolution equations can cause gluon distributions to vanish suddenly.

Positive Lyapunov exponents indicate chaotic oscillations in gluon distributions.

Chaos may limit the growth of particle events in ultra high energy colliders.

Abstract

We indicate that the random aperiodic oscillation of the gluon distributions in a modified BFKL equation has the 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 a ultra high energy hadron collider.