QCD evolution of entanglement entropy

TL;DR

This paper explores how entanglement entropy within protons evolves according to QCD principles, linking theoretical predictions with experimental data to shed light on nonperturbative proton structure.

Contribution

It introduces the QCD evolution of entanglement entropy in protons and demonstrates its agreement with experimental hadron data, revealing insights into nonperturbative QCD phenomena.

Findings

Strong agreement between QCD-evolved entropy and experimental data

Evidence for maximally entangled states in protons

Insights into nonperturbative proton structure

Abstract

Entanglement entropy has emerged as a novel tool for probing nonperturbative quantum chromodynamics (QCD) phenomena, such as color confinement in protons. While recent studies have demonstrated its significant capability in describing hadron production in deep inelastic scatterings, the QCD evolution of entanglement entropy remains unexplored. In this work, we investigate the differential rapidity-dependent entanglement entropy within the proton and its connection to final-state hadrons, aiming to elucidate its QCD evolution. Our analysis reveals a strong agreement between the rapidity dependence of von Neumann entropy, obtained from QCD evolution equations, and the corresponding experimental data on hadron entropy. These findings provide compelling evidence for the emergence of a maximally entangled state, offering new insights into the nonperturbative structure of protons.