Entanglement entropy and entropy production in the Color Glass Condensate framework

TL;DR

This paper calculates the entanglement entropy of soft gluons in high-energy hadrons and explores entropy production in hadronic collisions within the Color Glass Condensate framework, revealing insights into correlations and temperature of the produced system.

Contribution

It introduces a method to compute entanglement entropy of gluons and derives entropy production expressions in high-energy collisions within the Color Glass formalism.

Findings

Long-range rapidity correlations reduce entropy production.

The temperature of the produced system scales with average transverse momentum.

Entropy calculations provide insights into gluon dynamics in high-energy collisions.

Abstract

We compute the entanglement entropy of soft gluons in the wave function of a fast moving hadron and discuss its basic properties. We also derive the expression for entropy production in a high energy hadronic collision within the Color Glass formalism. We show that long range rapidity correlations give negative contribution to the production entropy. We calculate the (naturally defined) temperature of the produced system of particles, and show that it is proportional to the average transverse momentum of the produced particles.