  We postulate that non-perturbative QCD evolution of a single parton in the
vacuum will develop the long-range collective effects of a multi-parton system,
reminiscent of those observed in high-energy hadronic or nuclear interactions
with large final-state particle multiplicity final-state particles.
Proton-Proton collisions at the Large Hadron Collider showed surprising
signatures of a strongly interacting, thermalized quark-gluon plasma, which was
thought only to form in collisions of large nuclear systems. Another puzzle
observed earlier in $e^{+}e^{-}$ collisions is that production yields of
various hadron species appear to follow a thermal-like distribution with a
common temperature. We propose searches for thermal and collective properties
of a single parton propagating in the vacuum using high multiplicity jets in
high-energy elementary collisions. Several observables are studied using the
PYTHIA 8 Monte Carlo event generator. Experimental observation of such
long-range collectivity will offer a new view of non-perturbative QCD dynamics
of multi-parton systems at the smallest scales. Absence of any collective
effect may offer new insights into the role of quantum entanglement in the
observed thermal behavior of particle production in high energy collisions.
