Non-perturbative gluon evolution, squeezing, correlations and chaos in jets

TL;DR

This paper explores the non-perturbative evolution of gluon states in QCD jets, revealing potential for squeezed states, correlations, and coexistence of squeezing and chaos, with implications for understanding jet dynamics.

Contribution

It introduces the concept of gluon squeezed states in jet evolution and analyzes their statistical properties and potential coexistence with chaos using novel criteria.

Findings

Gluon fluctuations can be less than coherent states under certain conditions.

Gluon states can exhibit both sub- and super-Poissonian statistics, indicating antibunching and bunching.

Squeezing and chaos may coexist in gluon states under specific conditions.

Abstract

We study evolution of colour gluon states in isolated QCD jet at the non-perturbative stage. Fluctuations of gluons are less than those for coherent states under specific conditions. This fact suggests that there gluon squeezed states can arise. The angular and rapidity dependencies of the normalized second-order correlation function for present gluon states are studied at this stage of jet evolution. It is shown that these new gluon states can have both sub-Poissonian and super-Poissonian statistics corresponding to, respectively, antibunching and bunching of gluons by analogy with squeezed photon states. We investigate the possibility of coexisting both squeezing and chaos using Toda criterion and temporal correlator analysis. It is shown that these effects may coexist under some conditions.