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

TL;DR

This paper demonstrates that chaotic oscillations in a modified QCD evolution equation can lead to a sudden disappearance of gluon distributions at small x, potentially impacting high-energy collider physics.

Contribution

It introduces the first example of chaos in QCD evolution equations, revealing how chaos can influence gluon distributions at high energies.

Findings

Chaotic oscillations have positive Lyapunov exponents.

Gluon distributions can abruptly vanish at critical small x.

Chaos may halt the growth of particle events in colliders.

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.